CK-12 Foundation
Absolute Versus Local Extrema
Get the class to take an extreme look at functions. The interactive presents a function on a closed interval with a movable tangent line. Using the given function, pupils determine the extrema, critical points, and points of inflection.Â
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From F to F
For this derivatives worksheet, students solve 16 short answer problems. Students use a graph of a derivative to determine local maximums and minimums, concavity, inflection points, etc.
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Calculus AB/BC - Extreme Value Theorem, Global Versus Local Extrema, and Critical Points
It is critical to find all the extreme points. Pupils analyze graphs in the presentation to determine whether there are points that are either maximums and minimums. Using derivatives, learners find out how to find critical points from...
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Maximum and Minimum of Functions
In this calculus learning exercise, students are given functions and values to derive using the functions. They are asked to find the maximum, minimum and point of inflection. There are 28 questions.
West Contra Costa Unified School District
Using Derivatives to Graph Polynomials
You can learn to graph as well as a calculator using calculus. The lesson introduces using derivatives to find critical points needed to graph polynomials. Pupils learn to find local maximums and minimums and intervals of increase and...
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Calculus AB/BC - Using the First Derivative Test to Determine Relative Local Extrema
Critically apply intervals of increasing and decreasing. Pupils watch a video to see how finding a critical point and finding intervals of increasing and decreasing work together to identify local extrema. Scholars use the first...
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Derivatives and Maximum or Minimum
In this calculus worksheet, students calculate the maximum, minimum, and determine if the graph is concave up or down. There are 2 questions.
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Two Investigations of Cubic Functions
Through learning about cubic functions, learners graph cubic functions on their calculator. Students determine the local maximum and minimum points and the tangent line from the x-intercept to a point on the cubic function. Learners...
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Critical Points
High schoolers 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.
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Worksheet 23 - Directional Derivative
In this function worksheet, students compute the directional derivative of a function and identify the xy-coordinates of the maximum and local minimum. This two page worksheet contains six multi-step problems.
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Worksheet 26 - Function
In this function worksheet, students identify the local maximum and minimum values and angle dimensions. This one-page worksheet contains six multi-step problems.
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Analyze This Function
For this derivatives worksheet, students solve 11 short answer and graphing problems. Students find inflection points, increasing and decreasing intervals, maximums and minimums, and graph an exponential derivative. Students use the...
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Worksheet 24 - Derivative
In this derivative worksheet, students identify second derivatives and find the directional derivative of a function. They also list the extremes and saddle points of a function. This one-page worksheet contains seven multi-step problems.
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Math Sheet #10
For this math worksheet, students examine one equation and identify the maximum and minimum value of the equation. Using Excel worksheet, students graph the equation. There is one equation with three parts on this one-page worksheet.
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Finding Roots and Newton's Method
In this roots instructional activity, 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 instructional activity...
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The Apple Orchard Problem
Students explore various approaches to solving a problem of maximizing the total production of apples in an orchard. For this apple orchard lesson, students collect data in order to solve the apple orchard problem presented. Students...
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Further Differentiation
In this further differentiation worksheet, students solve and complete 7 various types of problems. First, they sketch the graph of each equation using a stationary point. Then, students find the stationary points of each and describe...
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Multivariable Optimization
In this multivariable optimization instructional activity, 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....
National Nanotechnology Infrastructure Network
Introduction to Nanotechnology Using the Creative Problem-Solving Model
Should we continue to spend money on nanotechnology? Groups engage in a problem-solving unique process around the newly emerging research field of nanotechnology. In order to propose a solution, the groups must research nanotechnology...
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A.P. Calculus Exam Prep
In this A.P. Calculus exam practice test, students answer 28 multiple choice questions. Questions cover a wide variety of topics. Students tell the position of a particle moving along a horizontal line. They identify the solution to a...
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Worksheet 19 - Topographical Maps
In 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.
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Derivatives
In this calculus worksheet, students solve functions by using the derivatives. The calculate the maximum and minimum of each function presented. There are 28 questions.
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AP Calculus Practice Exam
In this practice exam worksheet, students solve 17 multiple choice problems. Students find derivatives, points of continuity, maximums, minimums, integrals, and area of enclosed regions.
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Graphs and Derivatives
In this graphs and derivatives worksheet, students graph the derivative of a function. They find the intervals and identify the maximum and minimum. This one page worksheet contains three multi-step problems.