Answer
$$f'(x)=(3\ln(5))5^{3x}$$
Work Step by Step
We know that $(a^{f(x)})'=\ln(a)a^{f(x)}f'(x)$
(by chain rule)
$f(x)=5^{3x}$.
Therefore $f'(x) = \ln(5)5^{3x}(3x)'=(3\ln(5))5^{3x}$
Calculus 10th Edition
by Larson, Ron; Edwards, Bruce H.
Published by
Brooks Cole
ISBN 10:
1-28505-709-0
ISBN 13:
978-1-28505-709-5
Chapter 5 - Logarithmic, Exponential, and Other Transcendental Functions - Review Exercises - Page 394: 60
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