Explanation The chain rule is used for differentiation of a composite function. In chain rule first differentiate the outer function then differentiate the inner function. Since two steps are required to differentiate a composite function, therefore it is called chain rule. For the composite function h ( x ) = g [ f ( x ) ] first differentiate g [ f ( x ) ] , then differentiate f ( x ) . Mathematically it is written as, h ( x ) = g [ f ( x ) ] Differentiate both sides of above equation with respect to x . h ′ ( x ) = d d x ( g [ f (

Applied Calculus for the Managerial, Life, and Social Sciences (MindTap Course List)

10th Edition

ISBN: 9781305657861

Author: Soo T. Tan

Publisher: Cengage Learning

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Chapter 3.3, Problem 1CQ

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To explain: The chain rule for differentiating the composite function h(x)=g[f(x)] .

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Chapter 3.2, Problem 8TE

Chapter 3.3, Problem 2CQ

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Chapter 3 Solutions

Applied Calculus for the Managerial, Life, and Social Sciences (MindTap Course List)

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The chain rule for differentiating the composite function h ( x ) = g [ f ( x ) ] .

Solution Summary: The author explains that the chain rule is used for differentiation of a composite function.

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Chapter 3 Solutions