{"results":"\u003cdiv class='relative search-result-item thumbnail-card' data-id='4503' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemFolder' data-type='SharedCollection'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner folder-icon'\u003e\n\u003cdiv class=\"type-resource type-topic type-folder\"\u003e\u003cspan class=\"fa-lg banner-outer-icon resource-icon folder-icon resource-icon fa-stack\"\u003e\u003ci class=\"fa-solid fa-solid fa-folder-blank fa-stack-1x\"\u003e\u003c/i\u003e\u003ci class=\"fa-solid fa-play mr5 fa-stack-1x banner-inner-icon fa-stack-center\" style=\"transform: translateX(25%);\"\u003e\u003c/i\u003e\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003cspan class='item-count'\u003e\n\u003cspan\u003e38\u003c/span\u003e\n\u003cspan\u003eItems in Topic\u003c/span\u003e\n\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"AP Calculus AB Topic\" href=\"/collections/ap-calculus-ab\"\u003e\u003cimg title=\"AP Calculus AB\" alt=\"AP Calculus AB\" class=\"img-responsive resource-img lozad\" id=\"js-collection-thumbnail\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/collection/default.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/334360/large/bwluav9tywdpy2symde3mdewmy0ymjiwmy14axp5zhyuanbn.jpg?1483460345\" onError=\"handleImageNotLoadedError(this)\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eLesson Planet Curated\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='AP Calculus AB'\u003e\n\u003ca class=\"trk-show-resource\" title=\"AP Calculus AB Topic\" href=\"/collections/ap-calculus-ab\"\u003eAP Calculus AB\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e11th - 12th\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nPrepare high school mathematicians for the AP Calculus AB exam with a collection of 38 videos that can be used to introduce the topics or as a review. The videos focus on two processes; differentiating a function and integrating a...\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to AP Calculus AB Topic\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=4503\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003c/div\u003e\n\n\u003cdiv class='relative search-result-item thumbnail-card' data-id='5535' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemFolder' data-type='SharedCollection'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner folder-icon'\u003e\n\u003cdiv class=\"type-resource type-unit type-folder\"\u003e\u003cspan class=\"fa-lg banner-outer-icon resource-icon folder-icon resource-icon fa-stack\"\u003e\u003ci class=\"fa-solid fa-solid fa-folder-blank fa-stack-1x\"\u003e\u003c/i\u003e\u003ci class=\"fa-solid fa-square mr5 fa-stack-1x banner-inner-icon fa-stack-center\" style=\"transform: translateX(25%);\"\u003e\u003c/i\u003e\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003cspan class='item-count'\u003e\n\u003cspan\u003e47\u003c/span\u003e\n\u003cspan\u003eItems in Unit\u003c/span\u003e\n\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"AP Calculus AB Unit 7: Differential Equations Unit\" href=\"/collections/ap-calculus-ab-unit-7-differential-equations\"\u003e\u003cimg title=\"AP Calculus AB Unit 7: Differential Equations\" alt=\"AP Calculus AB Unit 7: Differential Equations\" class=\"img-responsive resource-img lozad\" id=\"js-collection-thumbnail\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/collection/default.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/447948/large/bwluav9tywdpy2symdixmduwmy0zmtezny1rcwewb2uuanbn.jpg?1620053411\" onError=\"handleImageNotLoadedError(this)\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eLesson Planet Curated\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='AP Calculus AB Unit 7: Differential Equations'\u003e\n\u003ca class=\"trk-show-resource\" title=\"AP Calculus AB Unit 7: Differential Equations Unit\" href=\"/collections/ap-calculus-ab-unit-7-differential-equations\"\u003eAP Calculus AB Unit 7: Differential Equations\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Teachers\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e11th - 12th\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nAs with the other units in the Flipped Classroom Calculus course, the Differential Equations Unit follows the College Board’s course and exam description. Topics are introduced with an instructional video demonstrating how to approach...\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to AP Calculus AB Unit 7: Differential Equations Unit\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=5535\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003c/div\u003e\n\n\u003cdiv class='relative search-result-item thumbnail-card no-access' data-id='842215' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-worksheet\"\u003e\u003ci class=\"fa-solid fa-pen-to-square resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eWorksheet\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Differentiation Computations Worksheet\" href=\"/teachers/differentiation-computations\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Differentiation Computations Worksheet\" title=\"Differentiation Computations Worksheet\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-pdf.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/269247/large/odqymje1lnbuzw.png?1414467359\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eCurated OER\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Differentiation Computations'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Differentiation Computations Worksheet\" href=\"/teachers/differentiation-computations\"\u003eDifferentiation Computations\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e11th\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nFor this calculus worksheet, 11th graders solve problems using differential equations and computations. They apply properties of trig functions and simplify their answers. There are 9 questions.\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Differentiation Computations Worksheet\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_resources_tab\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=842215\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Differentiation Computations Worksheet\" href=\"/teachers/differentiation-computations\"\u003e\u003ci class='fa-solid fa-list-ul'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eSee Review\u003c/span\u003e\n\u003c/a\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003c/div\u003e\n\n\n\u003cdiv class='relative search-result-item thumbnail-card no-access' data-id='740060' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-worksheet\"\u003e\u003ci class=\"fa-solid fa-pen-to-square resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eWorksheet\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Reductions of Order Worksheet\" href=\"/teachers/reductions-of-order\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Reductions of Order Worksheet\" title=\"Reductions of Order Worksheet\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-word.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/224170/large/cgrmlwnvbnzlcnqymdeymdgyns0xotk4lwk0bgd0yi5qcgc.jpg?1414313250\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eCurated OER\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Reductions of Order'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Reductions of Order Worksheet\" href=\"/teachers/reductions-of-order\"\u003eReductions of Order\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e11th - 12th\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nIn this calculus worksheet, students identify functions as linear or nonlinear, homogeneous versus nonhomogeneous by using the reduction power theorem. There are 5 questions.\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Reductions of Order Worksheet\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=740060\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Reductions of Order Worksheet\" href=\"/teachers/reductions-of-order\"\u003e\u003ci class='fa-solid fa-list-ul'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eSee Review\u003c/span\u003e\n\u003c/a\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003c/div\u003e\n\n\n\u003cdiv class='relative search-result-item thumbnail-card no-access' data-id='1062056' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-interactive\"\u003e\u003ci class=\"fa-solid fa-hand resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eInteractive\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Differential Equations Representing Growth and Decay: Rice Legend Interactive\" href=\"/teachers/differential-equations-representing-growth-and-decay-rice-legend\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Differential Equations Representing Growth and Decay: Rice Legend Interactive\" title=\"Differential Equations Representing Growth and Decay: Rice Legend Interactive\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/missing.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/340939/large/u2nyzwvux1nob3rfmjaxny0xms0yof9hdf85ljeyljixx0fnlnbuzw.png?1511889157\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eCK-12 Foundation\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Differential Equations Representing Growth and Decay: Rice Legend'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Differential Equations Representing Growth and Decay: Rice Legend Interactive\" href=\"/teachers/differential-equations-representing-growth-and-decay-rice-legend\"\u003eDifferential Equations Representing Growth and Decay: Rice Legend\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e11th - Higher Ed\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nThe legend of a wise man who asks a king for rice as a reward presents a context to study exponential solutions to differential equations. Pupils move quantities of rice to a chessboard and calculate the amount of rice for each day. To...\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Differential Equations Representing Growth and Decay: Rice Legend Interactive\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_resources_tab\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=1062056\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Differential Equations Representing Growth and Decay: Rice Legend Interactive\" href=\"/teachers/differential-equations-representing-growth-and-decay-rice-legend\"\u003e\u003ci class='fa-solid fa-list-ul'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eSee Review\u003c/span\u003e\n\u003c/a\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003c/div\u003e\n\n\n\u003cdiv class='relative search-result-item thumbnail-card no-access' data-id='1013853' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-instructional-video\"\u003e\u003ci class=\"fa-solid fa-circle-play resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eInstructional Video\u003c/span\u003e\u003cspan class=\"ml10 z-10 video-duration\"\u003e9:50\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Power Rule Introduction (Old) Taking derivatives, Differential Calculus Instructional video\" href=\"/teachers/power-rule-introduction-old-taking-derivatives-differential-calculus\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Power Rule Introduction (Old) Taking derivatives, Differential Calculus Instructional Video\" title=\"Power Rule Introduction (Old) Taking derivatives, Differential Calculus Instructional Video\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/missing.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/317153/large/cgrmlwnvbnzlcnqymde0mdewoc02nzkzlxv3cgkxas5qcgc.jpg?1389209227\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eKhan Academy\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Power Rule Introduction (Old) Taking derivatives, Differential Calculus'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Power Rule Introduction (Old) Taking derivatives, Differential Calculus Instructional video\" href=\"/teachers/power-rule-introduction-old-taking-derivatives-differential-calculus\"\u003ePower Rule Introduction (Old) Taking derivatives, Differential Calculus\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e11th - Higher Ed\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nThis video covers the differential notation dy/dx and generalizes the rule for finding the derivative of any polynomial. It also extends the notion of the derivatives covered in the Khan Academy videos, \"Calculus Derivatives 2Ó and...\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Power Rule Introduction (Old) Taking derivatives, Differential Calculus Instructional video\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=1013853\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Power Rule Introduction (Old) Taking derivatives, Differential Calculus Instructional video\" href=\"/teachers/power-rule-introduction-old-taking-derivatives-differential-calculus\"\u003e\u003ci class='fa-solid fa-list-ul'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eSee Review\u003c/span\u003e\n\u003c/a\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003c/div\u003e\n\n\n\u003cdiv class='relative search-result-item thumbnail-card no-access' data-id='1013847' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-instructional-video\"\u003e\u003ci class=\"fa-solid fa-circle-play resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eInstructional Video\u003c/span\u003e\u003cspan class=\"ml10 z-10 video-duration\"\u003e9:02\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Calculus: Derivative of x^(x^x) Instructional video\" href=\"/teachers/calculus-derivative-of-x-xx-11th-higher-ed\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Calculus: Derivative of x^(x^x) Instructional Video\" title=\"Calculus: Derivative of x^(x^x) Instructional Video\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/missing.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/14699/large/u2nyzwvuc2hvdf8ymdi0lta5lti5x2f0xziumdyumjligk9qts5wbmc.png?1727644016\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eKhan Academy\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Calculus: Derivative of x^(x^x)'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Calculus: Derivative of x^(x^x) Instructional video\" href=\"/teachers/calculus-derivative-of-x-xx-11th-higher-ed\"\u003eCalculus: Derivative of x^(x^x)\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e11th - Higher Ed\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nSal starts by showing how to find dy/dx of y = x2 and then moves on to show the solution to the more complicated implicit differentiation problem of finding the derivative of y in terms of x of y = x ^ x ^ x.\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Calculus: Derivative of x^(x^x) Instructional video\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=1013847\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Calculus: Derivative of x^(x^x) Instructional video\" href=\"/teachers/calculus-derivative-of-x-xx-11th-higher-ed\"\u003e\u003ci class='fa-solid fa-list-ul'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eSee Review\u003c/span\u003e\n\u003c/a\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003c/div\u003e\n\n\n\u003cdiv class='relative search-result-item thumbnail-card no-access' data-id='1008279' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-instructional-video\"\u003e\u003ci class=\"fa-solid fa-circle-play resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eInstructional Video\u003c/span\u003e\u003cspan class=\"ml10 z-10 video-duration\"\u003e8:49\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Product Rule, Taking Derivatives, Differential Calculus Instructional video\" href=\"/teachers/product-rule-taking-derivatives-differential-calculus\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Product Rule, Taking Derivatives, Differential Calculus Instructional Video\" title=\"Product Rule, Taking Derivatives, Differential Calculus Instructional Video\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/missing.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/451623/large/u2nyzwvuc2hvdf8ymdi0lta5lti5x2f0xziumzqumdxigk9qts5wbmc.png?1727645736\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eKhan Academy\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Product Rule, Taking Derivatives, Differential Calculus'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Product Rule, Taking Derivatives, Differential Calculus Instructional video\" href=\"/teachers/product-rule-taking-derivatives-differential-calculus\"\u003eProduct Rule, Taking Derivatives, Differential Calculus\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e11th - Higher Ed\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nSal defines the product rule and then shows two examples of its use. He then shows an example of finding the derivative using the chain and product rules together.\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Product Rule, Taking Derivatives, Differential Calculus Instructional video\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=1008279\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Product Rule, Taking Derivatives, Differential Calculus Instructional video\" href=\"/teachers/product-rule-taking-derivatives-differential-calculus\"\u003e\u003ci class='fa-solid fa-list-ul'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eSee Review\u003c/span\u003e\n\u003c/a\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003c/div\u003e\n\n\n\u003cdiv class='relative search-result-item thumbnail-card no-access' data-id='1013851' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-instructional-video\"\u003e\u003ci class=\"fa-solid fa-circle-play resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eInstructional Video\u003c/span\u003e\u003cspan class=\"ml10 z-10 video-duration\"\u003e11:05\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"The derivative of f(x)=x^2 for any x Taking derivatives, Differential Calculus Instructional video\" href=\"/teachers/the-derivative-of-f-x-x2-for-any-x-taking-derivatives-differential-calculus\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"The derivative of f(x)=x^2 for any x Taking derivatives, Differential Calculus Instructional Video\" title=\"The derivative of f(x)=x^2 for any x Taking derivatives, Differential Calculus Instructional Video\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/missing.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/19688/large/u2nyzwvuc2hvdf8ymdi0lta5lti5x2f0xzeyljq3lja04ocvue0ucg5n.png?1727639264\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eKhan Academy\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='The derivative of f(x)=x^2 for any x Taking derivatives, Differential Calculus'\u003e\n\u003ca class=\"trk-show-resource\" title=\"The derivative of f(x)=x^2 for any x Taking derivatives, Differential Calculus Instructional video\" href=\"/teachers/the-derivative-of-f-x-x2-for-any-x-taking-derivatives-differential-calculus\"\u003eThe derivative of f(x)=x^2 for any x Taking derivatives, Differential Calculus\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e11th - Higher Ed\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nBy defining the formal definition of a derivative, f(x), Sal can find the general form of the derivate function for the example f(x) = x2. He continues to stress the importance of an intuitive understanding of derivative functions.\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to The derivative of f(x)=x^2 for any x Taking derivatives, Differential Calculus Instructional video\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=1013851\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"The derivative of f(x)=x^2 for any x Taking derivatives, Differential Calculus Instructional video\" href=\"/teachers/the-derivative-of-f-x-x2-for-any-x-taking-derivatives-differential-calculus\"\u003e\u003ci class='fa-solid fa-list-ul'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eSee Review\u003c/span\u003e\n\u003c/a\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003c/div\u003e\n\n\n\u003cdiv class='relative search-result-item thumbnail-card no-access' data-id='1014059' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-instructional-video\"\u003e\u003ci class=\"fa-solid fa-circle-play resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eInstructional Video\u003c/span\u003e\u003cspan class=\"ml10 z-10 video-duration\"\u003e5:07\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Proof: d/dx(sqrt(x)) Taking Derivatives Differential Calculus Instructional video\" href=\"/teachers/proof-d-dx-sqrt-x-taking-derivatives-differential-calculus\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Proof: d/dx(sqrt(x)) Taking Derivatives Differential Calculus Instructional Video\" title=\"Proof: d/dx(sqrt(x)) Taking Derivatives Differential Calculus Instructional Video\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/missing.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/317168/large/cgrmlwnvbnzlcnqymde0mdewoc0ynjewoc1tnwtwcdquanbn.jpg?1389211142\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eKhan Academy\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Proof: d/dx(sqrt(x)) Taking Derivatives Differential Calculus'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Proof: d/dx(sqrt(x)) Taking Derivatives Differential Calculus Instructional video\" href=\"/teachers/proof-d-dx-sqrt-x-taking-derivatives-differential-calculus\"\u003eProof: d/dx(sqrt(x)) Taking Derivatives Differential Calculus\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e11th - Higher Ed\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nUsing the definition of a limit, Sal proves that the derivative of x or x1/2 equals _ x-1/2.\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Proof: d/dx(sqrt(x)) Taking Derivatives Differential Calculus Instructional video\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=1014059\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Proof: d/dx(sqrt(x)) Taking Derivatives Differential Calculus Instructional video\" href=\"/teachers/proof-d-dx-sqrt-x-taking-derivatives-differential-calculus\"\u003e\u003ci class='fa-solid fa-list-ul'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eSee Review\u003c/span\u003e\n\u003c/a\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003c/div\u003e\n\n\n\u003cdiv class='relative search-result-item thumbnail-card no-access' data-id='1008259' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-instructional-video\"\u003e\u003ci class=\"fa-solid fa-circle-play resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eInstructional Video\u003c/span\u003e\u003cspan class=\"ml10 z-10 video-duration\"\u003e11:32\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Introduction to Limits, Limits, Differential Calculus Instructional video\" href=\"/teachers/introduction-to-limits-limits-differential-calculus-11th-higher-ed\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Introduction to Limits, Limits, Differential Calculus Instructional Video\" title=\"Introduction to Limits, Limits, Differential Calculus Instructional Video\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/missing.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/312941/large/u2nyzwvuc2hvdf8ymdi1ltazlte1x2f0xzexlja3lji54ocvqu0ucg5n.png?1742062060\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eKhan Academy\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Introduction to Limits, Limits, Differential Calculus'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Introduction to Limits, Limits, Differential Calculus Instructional video\" href=\"/teachers/introduction-to-limits-limits-differential-calculus-11th-higher-ed\"\u003eIntroduction to Limits, Limits, Differential Calculus\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e11th - Higher Ed\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nSal begins his explanation of limits with a few basic examples and takes a more intuitive point of view before looking at a formal mathematical definition in later videos. He starts by introducing the notation for limits and describes...\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Introduction to Limits, Limits, Differential Calculus Instructional video\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=1008259\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Introduction to Limits, Limits, Differential Calculus Instructional video\" href=\"/teachers/introduction-to-limits-limits-differential-calculus-11th-higher-ed\"\u003e\u003ci class='fa-solid fa-list-ul'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eSee Review\u003c/span\u003e\n\u003c/a\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003c/div\u003e\n\n\n\u003cdiv class='relative search-result-item thumbnail-card no-access' data-id='1013849' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-instructional-video\"\u003e\u003ci class=\"fa-solid fa-circle-play resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eInstructional Video\u003c/span\u003e\u003cspan class=\"ml10 z-10 video-duration\"\u003e9:26\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Calculus: Derivatives 1 Instructional video\" href=\"/teachers/calculus-derivatives-1-11th-higher-ed\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Calculus: Derivatives 1 Instructional Video\" title=\"Calculus: Derivatives 1 Instructional Video\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/missing.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/14651/large/u2nyzwvuc2hvdf8ymdi0lta5lti5x2f0xzeunteumtjigk9qts5wbmc.png?1727643091\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eKhan Academy\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Calculus: Derivatives 1'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Calculus: Derivatives 1 Instructional video\" href=\"/teachers/calculus-derivatives-1-11th-higher-ed\"\u003eCalculus: Derivatives 1\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e11th - Higher Ed\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nSal defines the term derivative by taking the listener on a well-organized tour of the slope. First, he reviews the concept of the slope of a line from algebra, then extends this idea to look at the slope of the curve by first examining...\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Calculus: Derivatives 1 Instructional video\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=1013849\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Calculus: Derivatives 1 Instructional video\" href=\"/teachers/calculus-derivatives-1-11th-higher-ed\"\u003e\u003ci class='fa-solid fa-list-ul'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eSee Review\u003c/span\u003e\n\u003c/a\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003c/div\u003e\n\n\n\u003cdiv class='relative search-result-item thumbnail-card no-access' data-id='1013852' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-instructional-video\"\u003e\u003ci class=\"fa-solid fa-circle-play resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eInstructional Video\u003c/span\u003e\u003cspan class=\"ml10 z-10 video-duration\"\u003e9:32\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Calculus: Derivatives 2 Instructional video\" href=\"/teachers/calculus-derivatives-2-11th-higher-ed\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Calculus: Derivatives 2 Instructional Video\" title=\"Calculus: Derivatives 2 Instructional Video\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/missing.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/14650/large/u2nyzwvuc2hvdf8ymdi0lta5lti5x2f0xzeyljm0lji24ocvue0ucg5n.png?1727638483\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eKhan Academy\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Calculus: Derivatives 2'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Calculus: Derivatives 2 Instructional video\" href=\"/teachers/calculus-derivatives-2-11th-higher-ed\"\u003eCalculus: Derivatives 2\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e11th - Higher Ed\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nSal continues where he left off with the last video, \"Derivatives 1, Ó by looking at the equation y = x^2 and examining the slope of the second line at a specific point, and again defining the limit as x approaches zero to get the slope...\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Calculus: Derivatives 2 Instructional video\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=1013852\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Calculus: Derivatives 2 Instructional video\" href=\"/teachers/calculus-derivatives-2-11th-higher-ed\"\u003e\u003ci class='fa-solid fa-list-ul'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eSee Review\u003c/span\u003e\n\u003c/a\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003c/div\u003e\n\n\n\u003cdiv class='relative search-result-item thumbnail-card no-access' data-id='1013909' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-instructional-video\"\u003e\u003ci class=\"fa-solid fa-circle-play resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eInstructional Video\u003c/span\u003e\u003cspan class=\"ml10 z-10 video-duration\"\u003e8:07\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Equation of a Tangent Line, Taking Derivatives, Differential Calculus Instructional video\" href=\"/teachers/equation-of-a-tangent-line-taking-derivatives-differential-calculus\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Equation of a Tangent Line, Taking Derivatives, Differential Calculus Instructional Video\" title=\"Equation of a Tangent Line, Taking Derivatives, Differential Calculus Instructional Video\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/missing.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/317155/large/u2nyzwvuc2hvdf8ymdi1ltaylte1x2f0xzeumdeuntnigk9qts5wbmc.png?1739653332\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eKhan Academy\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Equation of a Tangent Line, Taking Derivatives, Differential Calculus'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Equation of a Tangent Line, Taking Derivatives, Differential Calculus Instructional video\" href=\"/teachers/equation-of-a-tangent-line-taking-derivatives-differential-calculus\"\u003eEquation of a Tangent Line, Taking Derivatives, Differential Calculus\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e11th - Higher Ed\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nUsing a specific example, Sal shows how to find the equation of a tangent line to a given function at a specific point. Specifically, he solves the problem of finding the tangent line to the function f(x) = xex at x = 1. This problem...\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Equation of a Tangent Line, Taking Derivatives, Differential Calculus Instructional video\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=1013909\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Equation of a Tangent Line, Taking Derivatives, Differential Calculus Instructional video\" href=\"/teachers/equation-of-a-tangent-line-taking-derivatives-differential-calculus\"\u003e\u003ci class='fa-solid fa-list-ul'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eSee Review\u003c/span\u003e\n\u003c/a\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003c/div\u003e\n\n\n\u003cdiv class='relative search-result-item thumbnail-card no-access' data-id='1013980' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-instructional-video\"\u003e\u003ci class=\"fa-solid fa-circle-play resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eInstructional Video\u003c/span\u003e\u003cspan class=\"ml10 z-10 video-duration\"\u003e11:32\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Introduction to Limits, Limits, Differential Calculus Instructional video\" href=\"/teachers/introduction-to-limits-limits-differential-calculus\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Introduction to Limits, Limits, Differential Calculus Instructional Video\" title=\"Introduction to Limits, Limits, Differential Calculus Instructional Video\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/missing.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/444948/large/u2nyzwvuc2hvdf8ymdi0lta5lti3x2f0xzeyljezlje54ocvue0ucg5n.png?1727464411\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eKhan Academy\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Introduction to Limits, Limits, Differential Calculus'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Introduction to Limits, Limits, Differential Calculus Instructional video\" href=\"/teachers/introduction-to-limits-limits-differential-calculus\"\u003eIntroduction to Limits, Limits, Differential Calculus\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e11th - Higher Ed\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nSal begins his explanation of limits with a few basic examples and takes a more intuitive point of view before looking at a formal mathematical definition in later videos. He starts by introducing the notation for limits and describes...\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Introduction to Limits, Limits, Differential Calculus Instructional video\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=1013980\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Introduction to Limits, Limits, Differential Calculus Instructional video\" href=\"/teachers/introduction-to-limits-limits-differential-calculus\"\u003e\u003ci class='fa-solid fa-list-ul'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eSee Review\u003c/span\u003e\n\u003c/a\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003c/div\u003e\n\n\n\u003cdiv class='relative search-result-item thumbnail-card no-access' data-id='1017041' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-instructional-video\"\u003e\u003ci class=\"fa-solid fa-circle-play resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eInstructional Video\u003c/span\u003e\u003cspan class=\"ml10 z-10 video-duration\"\u003e8:58\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Limit Examples (Part 1), Limits, Differential Calculus Instructional video\" href=\"/teachers/limit-examples-part-1-limits-differential-calculus\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Limit Examples (Part 1), Limits, Differential Calculus Instructional Video\" title=\"Limit Examples (Part 1), Limits, Differential Calculus Instructional Video\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/missing.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/319362/large/u2nyzwvuc2hvdf8ymdi0lteyltezx2f0xzeylje3ljiz4ocvue0ucg5n.png?1734121054\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eKhan Academy\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Limit Examples (Part 1), Limits, Differential Calculus'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Limit Examples (Part 1), Limits, Differential Calculus Instructional video\" href=\"/teachers/limit-examples-part-1-limits-differential-calculus\"\u003eLimit Examples (Part 1), Limits, Differential Calculus\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e11th - Higher Ed\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nOne example is finding the limit as x approaches -1 of (2x+2)/(x+1), solved by simplifying the expression and then explored intuitively by looking at the left and right-hand limits. The second example of finding the limit as x approaches...\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Limit Examples (Part 1), Limits, Differential Calculus Instructional video\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=1017041\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Limit Examples (Part 1), Limits, Differential Calculus Instructional video\" href=\"/teachers/limit-examples-part-1-limits-differential-calculus\"\u003e\u003ci class='fa-solid fa-list-ul'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eSee Review\u003c/span\u003e\n\u003c/a\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003c/div\u003e\n\n\n\u003cdiv class='relative search-result-item thumbnail-card no-access' data-id='1014057' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-instructional-video\"\u003e\u003ci class=\"fa-solid fa-circle-play resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eInstructional Video\u003c/span\u003e\u003cspan class=\"ml10 z-10 video-duration\"\u003e4:40\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Proof: d/dx(e^x) = e6x Instructional video\" href=\"/teachers/proof-d-dx-ex-e6x-11th-higher-ed\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Proof: d/dx(e^x) = e6x Instructional Video\" title=\"Proof: d/dx(e^x) = e6x Instructional Video\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/missing.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/63504/large/u2nyzwvuc2hvdf8ymdi0lta5lti3x2f0xzexlju1lja44ocvqu0ucg5n.png?1727463321\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eKhan Academy\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Proof: d/dx(e^x) = e6x'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Proof: d/dx(e^x) = e6x Instructional video\" href=\"/teachers/proof-d-dx-ex-e6x-11th-higher-ed\"\u003eProof: d/dx(e^x) = e6x\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e11th - Higher Ed\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nUsing the derivative of ln x, the chain rule, and the definition of a limit, Sal shows proof that the derivative of ex = ex. Note: The video titled \"Proof of Derivatives of Ln(x) and e^x,Ó clearly explains this proof.\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Proof: d/dx(e^x) = e6x Instructional video\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=1014057\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Proof: d/dx(e^x) = e6x Instructional video\" href=\"/teachers/proof-d-dx-ex-e6x-11th-higher-ed\"\u003e\u003ci class='fa-solid fa-list-ul'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eSee Review\u003c/span\u003e\n\u003c/a\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003c/div\u003e\n\n\n\u003cdiv class='relative search-result-item thumbnail-card no-access' data-id='1014058' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-instructional-video\"\u003e\u003ci class=\"fa-solid fa-circle-play resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eInstructional Video\u003c/span\u003e\u003cspan class=\"ml10 z-10 video-duration\"\u003e9:52\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Proof: d/dx(ln x)=1/x Instructional video\" href=\"/teachers/proof-d-dx-ln-x-1-x-11th-higher-ed\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Proof: d/dx(ln x)=1/x Instructional Video\" title=\"Proof: d/dx(ln x)=1/x Instructional Video\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/missing.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/64166/large/u2nyzwvuc2hvdf8ymdi0lta5lti3x2f0xzexljq5lja24ocvqu0ucg5n.png?1727462964\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eKhan Academy\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Proof: d/dx(ln x)=1/x'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Proof: d/dx(ln x)=1/x Instructional video\" href=\"/teachers/proof-d-dx-ln-x-1-x-11th-higher-ed\"\u003eProof: d/dx(ln x)=1/x\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e11th - Higher Ed\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nUsing the definition of a limit, various properties of logarithms, and a definition of e, Sal shows the proof of the derivative of ln x = 1/x. Note: The video titled \"Proof of Derivatives of Ln(x) and e^x,Ó has a more straightforward...\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Proof: d/dx(ln x)=1/x Instructional video\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=1014058\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Proof: d/dx(ln x)=1/x Instructional video\" href=\"/teachers/proof-d-dx-ln-x-1-x-11th-higher-ed\"\u003e\u003ci class='fa-solid fa-list-ul'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eSee Review\u003c/span\u003e\n\u003c/a\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003c/div\u003e\n\n\n\u003cdiv class='relative search-result-item thumbnail-card no-access' data-id='1014060' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-instructional-video\"\u003e\u003ci class=\"fa-solid fa-circle-play resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eInstructional Video\u003c/span\u003e\u003cspan class=\"ml10 z-10 video-duration\"\u003e7:03\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Proof: d/dx(x^n) Instructional video\" href=\"/teachers/proof-d-dx-xn-11th-higher-ed\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Proof: d/dx(x^n) Instructional Video\" title=\"Proof: d/dx(x^n) Instructional Video\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/missing.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/64168/large/u2nyzwvuc2hvdf8ymdi0lta5lti3x2f0xzexljmyljaw4ocvqu0ucg5n.png?1727461941\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eKhan Academy\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Proof: d/dx(x^n)'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Proof: d/dx(x^n) Instructional video\" href=\"/teachers/proof-d-dx-xn-11th-higher-ed\"\u003eProof: d/dx(x^n)\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e11th - Higher Ed\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nUsing the binomial theorem and definition of a limit, Sal shows a proof that the derivative of xn equals nxn-1.\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Proof: d/dx(x^n) Instructional video\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=1014060\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Proof: d/dx(x^n) Instructional video\" href=\"/teachers/proof-d-dx-xn-11th-higher-ed\"\u003e\u003ci class='fa-solid fa-list-ul'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eSee Review\u003c/span\u003e\n\u003c/a\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003c/div\u003e\n\n\n\u003cdiv class='relative search-result-item thumbnail-card no-access' data-id='1008260' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-instructional-video\"\u003e\u003ci class=\"fa-solid fa-circle-play resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eInstructional Video\u003c/span\u003e\u003cspan class=\"ml10 z-10 video-duration\"\u003e7:38\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Introduction to Limits 2, Limits, Precalculus Instructional video\" href=\"/teachers/introduction-to-limits-2-limits-precalculus\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Introduction to Limits 2, Limits, Precalculus Instructional Video\" title=\"Introduction to Limits 2, Limits, Precalculus Instructional Video\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/missing.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/42525/large/u2nyzwvuc2hvdf8ymdi1ltazlte1x2f0xzexlja0ljay4ocvqu0ucg5n.png?1742061861\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eKhan Academy\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Introduction to Limits 2, Limits, Precalculus'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Introduction to Limits 2, Limits, Precalculus Instructional video\" href=\"/teachers/introduction-to-limits-2-limits-precalculus\"\u003eIntroduction to Limits 2, Limits, Precalculus\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e11th - Higher Ed\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nSal explains limits by looking at a basic example of a discontinuous function and takes a more intuitive point of view before looking at a formal mathematical definition in later videos. He starts by introducing the notation for limits...\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Introduction to Limits 2, Limits, Precalculus Instructional video\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=1008260\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Introduction to Limits 2, Limits, Precalculus Instructional video\" href=\"/teachers/introduction-to-limits-2-limits-precalculus\"\u003e\u003ci class='fa-solid fa-list-ul'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eSee Review\u003c/span\u003e\n\u003c/a\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003c/div\u003e\n\n\n\u003cdiv class='relative search-result-item thumbnail-card no-access' data-id='598706' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-worksheet\"\u003e\u003ci class=\"fa-solid fa-pen-to-square resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eWorksheet\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Worksheet 31 Worksheet\" href=\"/teachers/worksheet-worksheet-31\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Worksheet 31 Worksheet\" title=\"Worksheet 31 Worksheet\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-pdf.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/336661/large/bwluav9tywdpy2symde3mduyns0xntgwny0xmg51d2hqlmpwzw.jpg?1495719876\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eCurated OER\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Worksheet 31'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Worksheet 31 Worksheet\" href=\"/teachers/worksheet-worksheet-31\"\u003eWorksheet 31\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e12th - Higher Ed\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nIn this math worksheet, students find the solutions to the differential equations. They also investigate the application of recognizing the parts of the equation.\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Worksheet 31 Worksheet\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=598706\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Worksheet 31 Worksheet\" href=\"/teachers/worksheet-worksheet-31\"\u003e\u003ci class='fa-solid fa-list-ul'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eSee Review\u003c/span\u003e\n\u003c/a\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003c/div\u003e\n\n\n\u003cdiv class='relative search-result-item thumbnail-card no-access' data-id='598707' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-worksheet\"\u003e\u003ci class=\"fa-solid fa-pen-to-square resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eWorksheet\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Worksheet 30 Worksheet\" href=\"/teachers/worksheet-worksheet-30\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Worksheet 30 Worksheet\" title=\"Worksheet 30 Worksheet\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-pdf.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/90112/large/bwluav9tywdpy2symde3mdmymy0xmtcyns0xmzfzohnvlmpwzw.jpg?1490332552\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eCurated OER\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Worksheet 30'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Worksheet 30 Worksheet\" href=\"/teachers/worksheet-worksheet-30\"\u003eWorksheet 30\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e11th - Higher Ed\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nIn this math worksheet, students solve the differential equation by means of a power series about the point x0 = 2. Then they find the recurrence relation and the first four terms.\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Worksheet 30 Worksheet\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=598707\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Worksheet 30 Worksheet\" href=\"/teachers/worksheet-worksheet-30\"\u003e\u003ci class='fa-solid fa-list-ul'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eSee Review\u003c/span\u003e\n\u003c/a\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003c/div\u003e\n\n\n\u003cdiv class='relative search-result-item thumbnail-card no-access' data-id='598802' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-worksheet\"\u003e\u003ci class=\"fa-solid fa-pen-to-square resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eWorksheet\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Worksheet 20 Worksheet\" href=\"/teachers/worksheet-worksheet-20\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Worksheet 20 Worksheet\" title=\"Worksheet 20 Worksheet\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-pdf.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/90087/large/bwluav9tywdpy2symde3mdmymy0yodqwltfjynvwdzguanbn.jpg?1490330986\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eCurated OER\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Worksheet 20'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Worksheet 20 Worksheet\" href=\"/teachers/worksheet-worksheet-20\"\u003eWorksheet 20\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e10th - 12th\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nIn this math worksheet, they write down and solve a differential equation governing the motion of an underdamped spring. Then they find the solution to the initial value problem.\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Worksheet 20 Worksheet\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_resources_tab\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=598802\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Worksheet 20 Worksheet\" href=\"/teachers/worksheet-worksheet-20\"\u003e\u003ci class='fa-solid fa-list-ul'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eSee Review\u003c/span\u003e\n\u003c/a\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003c/div\u003e\n\n\n\u003cdiv class='relative search-result-item thumbnail-card no-access' data-id='598821' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-worksheet\"\u003e\u003ci class=\"fa-solid fa-pen-to-square resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eWorksheet\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Worksheet 13 Worksheet\" href=\"/teachers/worksheet-worksheet-13-11th-higher-ed\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Worksheet 13 Worksheet\" title=\"Worksheet 13 Worksheet\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-pdf.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/90064/large/bwluav9tywdpy2symde3mdmymy0yotgzmc0xy2nnzm0zlmpwzw.jpg?1490330944\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eCurated OER\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Worksheet 13'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Worksheet 13 Worksheet\" href=\"/teachers/worksheet-worksheet-13-11th-higher-ed\"\u003eWorksheet 13\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e11th - Higher Ed\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nIn this math instructional activity, students find the solution for the Euler equation. Then they simplify the two differential for the functions of g and yp.\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Worksheet 13 Worksheet\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=598821\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Worksheet 13 Worksheet\" href=\"/teachers/worksheet-worksheet-13-11th-higher-ed\"\u003e\u003ci class='fa-solid fa-list-ul'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eSee Review\u003c/span\u003e\n\u003c/a\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003c/div\u003e\n\n\n","pagination":"\u003cdiv class='text-center' id='search-pagination'\u003e\n\u003cdiv role=\"navigation\" aria-label=\"Pagination\" class=\"pagination\"\u003e\u003cul class=\"pagination\"\u003e\u003cli class=\"prev previous_page disabled\"\u003e\u003ca href=\"#\"\u003e\u0026#8592; Previous\u003c/a\u003e\u003c/li\u003e \u003cli class=\"active\"\u003e\u003ca rel=\"\" href=\"/lesson-plans/calculus-differentiation\"\u003e1\u003c/a\u003e\u003c/li\u003e \u003cli\u003e\u003ca rel=\"next\" href=\"/lesson-plans/calculus-differentiation/2\"\u003e2\u003c/a\u003e\u003c/li\u003e \u003cli\u003e\u003ca rel=\"\" href=\"/lesson-plans/calculus-differentiation/3\"\u003e3\u003c/a\u003e\u003c/li\u003e \u003cli\u003e\u003ca rel=\"\" href=\"/lesson-plans/calculus-differentiation/4\"\u003e4\u003c/a\u003e\u003c/li\u003e \u003cli\u003e\u003ca rel=\"\" href=\"/lesson-plans/calculus-differentiation/5\"\u003e5\u003c/a\u003e\u003c/li\u003e \u003cli\u003e\u003ca rel=\"\" href=\"/lesson-plans/calculus-differentiation/6\"\u003e6\u003c/a\u003e\u003c/li\u003e \u003cli class=\"next next_page \"\u003e\u003ca rel=\"next\" href=\"/lesson-plans/calculus-differentiation/2\"\u003eNext \u0026#8594;\u003c/a\u003e\u003c/li\u003e\u003c/ul\u003e\u003c/div\u003e\n\u003c/div\u003e\n"}