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Instructional Video4:43
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\n\"Implicit\n\n
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\nEducator.com\n
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\nImplicit Differentiation\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nModel for class members how to find both a first and second derivative of a trigonometric function with a video tutorial that works through a problem that uses the Quotient Rule to evaluate the derivative. The instructor shows the steps...\n
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AP Test Prep
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\n\"2005\n\n
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\nCollege Board\n
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\n2005 AP® Calculus BC Free-Response Questions Form B\n

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\n\nFor Students\n\n10th - 12th\n
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\nLet's put it in context. Pupils use the AP® Calculus BC free-response questions to practice for the exam. Five of the six released items deal with mathematical problems, with one using a real-world situation. Learners use differentiation...\n
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AP Test Prep
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\n\"2011\n\n
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\nCollege Board\n
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\n2011 AP® Calculus BC Free-Response Questions\n

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\n\nFor Students\n\n10th - 12th\n
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\nDoes the exam look pupils expected? Released free-response questions from the AP® Calculus BC exam allow teachers and pupils to see and practice with actual exam questions. Three of the questions come from the AB portion of the course...\n
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AP Test Prep11:54
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\n\"Calculus\n\n
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\nFlipped Math\n
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\nCalculus AB/BC - The Fundamental Theorem of Calculus and Accumulation Functions\n

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\n\nFor Students\n\n10th - 12th\n
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\nConnect integrals with differentiation. The beginning of the video introduces the definition of an accumulation function. Scholars learn about the relationship between integrals and derivatives. Using what is commonly known as Part Two...\n
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AP Test Prep
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\n\"2002\n\n
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\nCollege Board\n
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\n2002 AP® Calculus BC Free-Response Questions\n

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\n\nFor Students\n\n10th - 12th\n
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\nWhere do the questions come from? Individuals examine released items and see the topics included. Teachers use the materials to see the distribution between strictly BC content and that which is shared with AB. The 2002 Calculus BC is...\n
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AP Test Prep
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\n\"2002\n\n
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\nCollege Board\n
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\n2002 AP® Calculus AB Free-Response Questions\n

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\n\nFor Students\n\n10th - 12th\n
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\nPeek behind the curtain. Using a helpful resource, teachers and pupils see the way concepts appear on the AP® Calculus exam. Scholars use the questions to prepare for their own exams, gaining quality practice before test day. Questions...\n
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AP Test Prep
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\n\"2003\n\n
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\nCollege Board\n
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\n2003 AP® Calculus BC Free-Response Questions\n

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\n\nFor Students\n\n10th - 12th\n
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\nThere are shaded areas, particles, polar equations, oh my! Teachers use the materials to see how their pupils compare to the AP® Calculus BC exam expectations. Scholars use the released items to practice on several BC topics and become...\n
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AP Test Prep
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\n\"2008\n\n
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\nCollege Board\n
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\n2008 AP® Calculus AB Free-Response Questions Form B\n

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\n\nFor Students\n\n10th - 12th\n
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\nHow would those items score? The resource provides pupils an opportunity to answer actual free-response questions and determine their scores. Items from the AP® Calculus AB exam from the 2008 administration demonstrate how topics appear...\n
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AP Test Prep
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\n\"2011\n\n
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\nCollege Board\n
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\n2011 AP® Calculus BC Free-Response Questions Form B\n

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\n\nFor Students\n\n10th - 12th\n
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\nTake a second look. Form B of the AP® Calculus BC free-response questions allow pupils and teachers to see another set of items. The six questions expand the set of items from the 2011 free-response questions. Form B items include a...\n
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AP Test Prep
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\n\"2008\n\n
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\nCollege Board\n
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\n2008 AP® Calculus BC Free-Response Questions Form B\n

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\n\nFor Students\n\n10th - 12th\n
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\nThis is integral to the test. Pupils realize that every question in the released free-response items from the 2008 AP® Calculus exam Form B requires integration. By reviewing the additional resources, scholars learn how important it is...\n
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Instructional Video5:56
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\n\"Integrals\n\n
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\nKrista King Math\n
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\nIntegrals - Calculus\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nIntroduce the opposite of differentiation. Pupils learn the basic definition of integration and how to integrate a polynomial. The video shows learners how the integral is the opposite of the derivative. Individuals see how to confirm...\n
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Interactive
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\n\"Differentiation\n\n
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\nCurated OER\n
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\nDifferentiation Using the Chain Rule\n

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\n\nFor Students\n\n10th - 12th\n
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\nIn this calculus worksheet, students solve problems using differentiation and the chain rules. They take the derivatives of equations using specific equations. There are 21 problems with an answer key.\n
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Worksheet
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\n\"Differentiation\n\n
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\nCurated OER\n
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\nDifferentiation Using the Quotient Rule\n

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\n\nFor Students\n\n11th - 12th\n
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\nIn this calculus worksheet, students use differentiation to solve problems. They apply the quotient rule as they solve rational expressions. There are 19 questions with an answer key.\n
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Interactive
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\n\"Logarithmic\n\n
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\nCurated OER\n
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\nLogarithmic Differentiation \n

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\nIn this calculus activity, 12th graders perform logarithmic differentiation on functions for which the ordinary rules of differentiation do not apply.  The one page interactive activity contains eleven problems.  Answers are...\n
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Lesson Plan
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\nWorksheet 13 - Implicit Differentiation\n

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\n\nFor Teachers\n\nHigher Ed\n
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\nIn this implicit differentiation worksheet, students differentiate expressions and identify the derivative of a function. This one-page worksheet contains six multi-step problems.\n
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AP Test Prep14:02
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\n\"Calculus\n\n
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\nFlipped Math\n
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\nCalculus AB/BC - Derivatives of tan(x), cot(x), sec(x), and csc(x)\n

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\nContinue to differentiate the rest of the trigonometric functions. Pupils see the derivatives of the other four trigonometric functions and begin to memorize the rules. Learners see examples that show that the calculus portion of a...\n
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Instructional Video17:34
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\n\"Derivative\n\n
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\n3Blue1Brown\n
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\nDerivative Formulas Through Geometry | Essence of Calculus, Chapter 3\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nGeometry to the rescue. By watching a video, scholars see how geometric concepts help explain derivative formulas: areas of rectangles and volumes of rectangular prisms for the Power Rule and similarity and trig ratios for the Sine Rule.\n
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Instructional Video4:21
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\n\"Derivatives\n\n
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\nKrista King Math\n
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\nDerivatives of Hyperbolic Functions\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nTrig provides assistance in finding the derivatives of hyperbolic functions. The presentation provides an example of finding the derivative involving hyperbolic functions. Using the chain rule, the video finds the derivative of a...\n
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Instructional Video6:48
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\n\"Finding\n\n
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\nKrista King Math\n
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\nFinding the Derivative of a Function with e^x\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nGo beyond the basics with exponential functions. Using a function that contains an exponential function, the video shows the steps involved in finding its derivative. The 20th installment in a series of 31 uses an example with the...\n
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Lesson Plan
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\n\"Rules\n\n
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\nRules for Differentiation\n

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\nTwelfth graders review the rules for derivatives and use them to solve problems. In this calculus lesson, 12th graders apply the power rules for derivatives correctly to solve equations. This assignment contains lots of examples of...\n
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Lesson Plan
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\nThe Chain Rule\n

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\nTwelfth graders investigate the chain rule and use it to solve functions. In this calculus activity, 12th graders apply the chain rule to problems with powers, and product rule. They practice with lots of examples before doing it on...\n
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Worksheet
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\n\"Practicing\n\n
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\nPracticing the Chain Rules\n

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\n\nFor Students\n\n10th - 12th\n
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\nIn this calculus worksheet, learners solve problems using the chain rule to take the derivative and solve the function. There are 6 questions which require the students to find the correct strategy to solve the equations.\n
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Worksheet
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\nAP Calculus Practice Exam\n

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\nIn this calculus instructional activity, students calculate the derivative, find the invertible given the derivative and review basic concepts for their AP calculus exam. There are 17 questions.\n
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Worksheet
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\nAP Calculus Practice Exam BC Version: Part B\n

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\n\nFor Students\n\n11th - 12th\n
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\nIn this calculus worksheet, students solve 17 multiple choice problems. Students find limits, summations, and derivatives of functions. Students find the area of an enclosed region between two curves.\n
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