Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 3 - Review - Exercises - Page 268: 77


$f'(x) = \frac{g'(x)}{g(x)}$

Work Step by Step

Let $h(x) = ln~\vert x \vert$ $h'(x) = \frac{1}{x}$ We can find $f'$: $f(x) = ln~\vert g(x) \vert$ $f(x) = h(g(x))$ $f'(x) = h'(g(x))~\cdot g'(x)$ $f'(x) = \frac{1}{g(x)}\cdot g'(x)$ $f'(x) = \frac{g'(x)}{g(x)}$
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