Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 3 - Differentiation - Chapter Review Exercises - Page 164: 56


$$ G'(2)= -18.$$

Work Step by Step

Given $ G(x)=f(g(x))$, then we have $ G'(x)=f'(g(x))g'(x)$ and hence $$ G'(2)=f'(g(2))g'(2)=f'(4)g'(2)=-2(9)=-18.$$
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