Answer
$$-27$$
Work Step by Step
Given $ S(x)=2f(x)-2g(x)$, then we have $ S'(x)=3f'(x)-2g'(x)$ and hence
$$ S'(2)=3f'(2)-2g'(2)=3(-3)-2(9)=-9-18=-27.$$
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: 53
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