Education Technology

Higher Order Derivatives

Published on 08/24/2010

Activity Overview

Students calculate the second derivative of functions, inspect a graph and give the intervals for concave up and concave down and find the point of inflection.

Key Steps

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    Students will explore the higher derivatives of several functions and use these to identify the concavity and point(s) of inflection.

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    Students will use a nested derivative command to find the second derivative of each function.

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    Students will graph the function and its second derivative on the same screen to discover the relationship between the function's concavity and second derivative.