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: 58


$$ K'(2)= -8.$$

Work Step by Step

Given $ K(x)=f(x^2)$, then we have $ K'(x)=2xf'(x^2)$ and hence $$ K'(2)=2(2)f'(4)=4(-2)=-8.$$
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