3.5 The Chain Rule

Mathematica script by Chris Parrish,

cparrish@sewanee.edu

Problems from James Stewart,

"Calculus: Concepts and Contexts,"

Second Edition, Brooks/Cole, 2001

Mathematica Understands the Chain Rule

Stewart, Section 3.5

Let's declare two functions symbolically, and then take the derivative of their composition.

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The Derivative of a Certain Composition of Functions.

Stewart, cf. Exercise 3.5.31

Let's find the equation of the tangent line to Cos[Cos[x]] at x = Pi/3.

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The Derivative of Another Composition of Functions.

Stewart, cf. Exercise 3.5.47

Let's find the derivatives of f(exp(x)) and exp(f(x)) for an arbitrary differentiable function f.

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Created by Mathematica (April 19, 2004)