Answer
$$ f'(x)= -36e^{-4x}.$$
Work Step by Step
Recall that $(e^x)'=e^x$
Since $ f(x)= 9e^{-4x}$, then the derivative is given by
$$ f'(x)=9e^{-4x} (-4x)'=-36e^{-4x}.$$
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 7 - Exponential Functions - Chapter Review Exercises - Page 386: 13
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