Explanation Given: f ( x ) = g ( e x ) Concept Used: Chain rule of differentiation is: d d x f [ g ( x ) ] = d d g f ( g ) d g d x , where u is a differentiable function at x and f is a differentiable function at u ( x ) d d x e x = e x Calculation: To find f ′ ( x ) in terms of g ′ ( x ) , where f ( x ) = g ( e x ) Differentiate both sides as

15th Edition

ISBN: 9781133109631

Author: Stewart, JAMES, Day, Troy

Publisher: Cengage Learning,

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Chapter 3, Problem 67E

To determine

To find f′(x) in terms of g′(x) , where

f(x)=g(ex)

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Chapter 3, Problem 66E

Chapter 3, Problem 68E

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Chapter 3 Solutions

Biocalculus

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To find f ′ ( x ) in terms of g ′ ( x ) , where f ( x ) = g ( e x )

Solution Summary: The author explains the chain rule of differentiation, where u is a differentiable function at x and f is

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To find f′(x) in terms of g′(x) , where f(x)=g(ex)

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Chapter 3 Solutions

To find f′(x) in terms of g′(x) , where

f(x)=g(ex)