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Instructional Video9:37
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\n\"Maxima\n\n
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\nCurated OER\n
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\nMaxima Minima Slope Intuition\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nBefore solving any problems, Sal gives an overview of what happens to the slope, first derivative, and second derivative at local maxima and minima to give the viewer a more intuitive feel for these types of problems.\n
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Worksheet
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\n\"Applications\n\n
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\nCurated OER\n
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\nApplications of Derivatives: Finding Maxima and Minima\n

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\n\nFor Students\n\n12th - Higher Ed\n
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\nFor this calculus worksheet, students are given 10 short-answer problems regarding functions, derivatives, minima, maxima and extremes.\n
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Instructional Video9:55
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\n\"Local\n\n
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\nEducator.com\n
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\nLocal Maximum and Minimum\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nAP Calculus classes follow along as a video tutorial explains the process of determining the location of local maximum and minimum. The instructor first finds the derivative using the Quotient Rule. After finding the critical...\n
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Worksheet
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\n\"Basic\n\n
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\nCurated OER\n
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\nBasic Calculus: Extrema, and Optimization: Putting it all Together\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this extrema and optimization worksheet, students identify all points in the domain and determine the critical points. They compute the second derivative and find the global maxima and minima. This two-page worksheet contains two...\n
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Worksheet
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\n\"Applications\n\n
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\nCurated OER\n
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\nApplications of Derivatives: General Rules for Optimization\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this minima and maxima worksheet, students find the global and local maxima and minima of one function. They work in small groups to solve one optimization problem. Steps for solving are listed on the page.\n
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Organizer
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\n\"Applications\n\n
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\nCurated OER\n
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\nApplications of Derivatives: Finding Maxima and Minima\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this derivatives worksheet, students complete a function chart by telling the type of function, the derivative, and making an illustration of the concept. They find the intervals at which a given function is increasing or decreasing....\n
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Instructional Video9:18
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\n\"Optimization\n\n
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\nKrista King Math\n
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\nOptimization - Calculus\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nGet the maximum possible benefit from an optimal video. Scholars first review how to find critical points and how to test for local and global maxima and minima. They then apply these skills to a geometric optimization problem. \n
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Instructional Video9:44
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\n\"Graphing\n\n
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\nCurated OER\n
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\nGraphing with Calculus\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nIn a problem where you are not given the original function, but rather only three known points on the graph and a few additional pieces of information about when the first and second derivatives are positive or negative, Sal shows how...\n
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Lesson Plan
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\nCurated OER\n
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\nWorksheet 19 - Topographical Maps\n

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\n\nFor Teachers\n\nHigher Ed\n
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\nIn this map worksheet, students use information from given topical maps and locate the maxima and solve one dimensional wave equations. This two-page worksheet contains four problems.\n
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\n\"Multivariable\n\n
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\nCurated OER\n
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\nMultivariable Optimization\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this multivariable optimization worksheet, students determine the local maximum and local minimum of given functions. They identify the critical points for given function and match contour plots to the proper functions. This four page...\n
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Worksheet
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\n\"Applications\n\n
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\nCurated OER\n
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\nApplications of Derivatives: Concavity and Optimization\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this derivatives worksheet, students sketch the graph of a function by determining the local maxima, minima and inflection points. They graph a second function when given the interval. Students solve two word problems involving...\n
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Worksheet
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\n\"Application\n\n
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\nCurated OER\n
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\nApplication of Differentiation: Optimization\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this optimization worksheet, students complete a table identifying the characteristics of a function and it's derivative and provide an illustration of each type of function. Afterward, they use the first derivative test for finding...\n
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\n\"Finding\n\n
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\nCurated OER\n
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\nFinding Roots and Newton's Method\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this roots worksheet, students identify the local maxima and minima for a function. Students find the roots of the function using roots and Newton's Method of approximation. This three-page worksheet contains examples, explanations...\n
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\n Critical Points\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nStudents identify critical points on a graph. In this calculus lesson, students graph their equations on the TI calculator. They zoom in and out to identify the critical points.\n
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\nCurated OER\n
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\nWorksheet 1\n

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\n\nFor Teachers\n\nHigher Ed\n
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\nIn this math worksheet, students give examples of functions that will satisfy given conditions. Students tell the tabulations for a given function. Students use the definition of a derivative to compute the inverse of a function. they...\n
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Lesson Plan
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\nCurated OER\n
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\nWorksheet 4, Functions\n

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\n\nFor Teachers\n\n8th - 9th\n
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\nEighth and ninth graders graph a given function and identify the domain, range and intercepts. Theytell the intervals that the function is increasing, decreasing, or constant. Pupils identify the minimum and maximum of the graph, and...\n
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Worksheet
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\n\"Math\n\n
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\nCurated OER\n
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\nMath Sheet #10\n

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\n\nFor Students\n\n10th - 11th\n
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\nIn this math learning exercise, learners examine one equation and identify the maximum and minimum value of the equation. Using Excel learning exercise, students graph the equation. There is one equation with three parts on this...\n
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Worksheet
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\n\"Worksheet\n\n
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\nCurated OER\n
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\nWorksheet 19\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nIn this math worksheet, students try to fit a line to a set of data. Then they use the least squares method is based on minimizing the sum of the squares of the errors.\n
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Worksheet
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\n\"Derivatives\n\n
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\nCurated OER\n
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\nDerivatives and Maximum or Minimum\n

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\n\nFor Students\n\n9th - 11th\n
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\nIn this calculus worksheet, students calculate the maximum, minimum, and determine if the graph is concave up or down. There are 2 questions.\n
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Worksheet
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\n\"Worksheet\n\n
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\nCurated OER\n
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\nWorksheet 22-Fall 1995\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nIn this math activity, students examine the graph of the derivative. Then they determine the critical points that correspond to the relative extrema.\n
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Worksheet
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\n\"Infinite\n\n
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\nCurated OER\n
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\nInfinite Limits and Horizontal Asymptotes\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this infinite limit instructional activity, students compute horizontal and vertical asymptotes. They use trigonometric functions to find the limits of functions and compare results. This two-page instructional activity contains...\n
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\n\"Exploring\n\n
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\nCurated OER\n
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\nExploring the Landscape\n

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\n\nFor Teachers\n\n11th - 12th\n
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\nStudents determine the monotonicity and concavity properties of a function, then apply the First Derivative Test and draw conclusions about the first and second derivatives from these properties.\n
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Lesson Plan
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\n\"Grating\n\n
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\nCurated OER\n
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\nGrating Spectrometer\n

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\n\nFor Teachers\n\n11th - 12th\n
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\nStudents calculate the Balmer series. In this physics lesson plan, students observe hydrogen lamp spectra using spectrometers. They calculate wavelength and compare them with their theoretical calculations.\n
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Unit Plan
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\n\"Math\n\n
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\nMathematics Archives\n
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\nMath Archives: Visual Calculus: Maxima and Minima\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nVery good site explaining the maxima and minima. The site has examples and definitions along with links to help the student through the process.\n
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\n\nGet Free Access\n\nSee Review\n
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