Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 2 - Differentiation - 2.4 Exercises - Page 137: 99

Answer

$g'(x)=3f'(3x).$

Work Step by Step

Using the Chain Rule: $u=3x$; $\dfrac{du}{dx}=3$ $\dfrac{d}{du}f(u)=f'(u)=f'(3x)$ $g'(x)=\dfrac{d}{du}f(u)\times\dfrac{du}{dx}=3f'(3x)$
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