Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 7 - Exponential Functions - 7.3 Logarithms and Their Derivatives - Exercises - Page 343: 48


$$ y'=16^ {\sin x} \cos x\ln 16.$$

Work Step by Step

Recall that $(a^x)'=a^x\ln{a}$ Recall that $(\sin x)'=\cos x$. Since $ y=16^{\sin x}$, then by the chain rule, we have $$ y'=16^ {\sin x} \cos x\ln 16.$$
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