Education Technology

Implicit Differentiation

Activity Overview

Students find the derivative of a relation, F(x,y), that is not solved for y.

Key Steps

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    Students will be introduced to the concept of implicit differentiation. Students will begin by solving the equation of a circle for y and then find the derivative of the relation using already familiar methods.

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    Next, students will use the impDif command to find an alternate form of the derivative, and verify that the two forms are equal.

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    Students will learn how to perform implicit differentiation by hand, using the impDif command to check their results. Then students will be asked to find the numerical derivative of a relation for specific x-values, and a graphical connection to the results found using implicit differentiation will be made.