Answer
$f'(x) = g'(x) * g'(g(x)) $
Work Step by Step
$f(x) = g(g(x))$
Use chain rule here
$f'(x) = \frac{d}{dx} g(g(x))$
$f'(x) = g'(g(x)) \frac{d}{dx} (g(x))$
$f'(x) = g'(x) * g'(g(x)) $
Calculus 8th Edition
by Stewart, James
Published by
Cengage
ISBN 10:
1285740629
ISBN 13:
978-1-28574-062-1
Chapter 2 - Derivatives - Review - Exercises - Page 198: 65
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