Answer
$$ y'= 12\sin(2-3x).$$
Work Step by Step
Recall that $(\cos x)'=-\sin x$.
Since $ y=4\cos(2-3x)$, then by the chain rule, the derivative $ y'$ is given by
$$ y'=-4\sin(2-3x) (-3)=12\sin(2-3x).$$
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 163: 44
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