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: 46


$$ y'=7^{4x-x^2} (4-2x) \ln 7.$$

Work Step by Step

Recall that the derivative of $ a^{f(x)}$ is $ a^{f(x)} f'(x)\ln a $ Since $ y=7^{4x-x^2}$, we have $$ y'=7^{4x-x^2} (4-2x) \ln 7.$$
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