Answer
$$ K'(2)= -8.$$
Work Step by Step
Given $ K(x)=f(x^2)$, then we have $ K'(x)=2xf'(x^2)$ and hence
$$ K'(2)=2(2)f'(4)=4(-2)=-8.$$
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 3 - Differentiation - Chapter Review Exercises - Page 164: 58
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