Explanation Given: f ( x ) = ln | g ( 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 ln x = 1 x Calculation: To find f ′ ( x ) in terms of g ′ ( x ) , where f ( x ) = ln | g ( x ) | Differentiate both sides as f ′ ( x ) = d d x

Bundle: Biocalculus: Calculus, Probability, And Statistics For The Life Sciences + Webassign Printed Access Card For Stewart/day's Biocalculus: Calculus For Life Sciences, 1st Edition, Multi-term

1st Edition

ISBN: 9781305779037

Author: James Stewart, Troy Day

Publisher: Cengage Learning

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Chapter 3, Problem 69E

To determine

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

f(x)=ln|g(x)|

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Chapter 3, Problem 68E

Chapter 3, Problem 70E

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Bundle: Biocalculus: Calculus, Probability, And Statistics For The Life Sciences + Webassign Printed Access Card For Stewart/day's Biocalculus: Calculus For Life Sciences, 1st Edition, Multi-term

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

Solution Summary: The author explains the chain rule of differentiation and how to solve it.

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

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Chapter 3 Solutions

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

f(x)=ln|g(x)|