Calculus (3rd Edition)

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

Chapter 7 - Exponential Functions - Chapter Review Exercises - Page 386: 29


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

Work Step by Step

Recall that $(a^x)'=a^x\ln{a}$ Since $ f(x)=7^{-2x}$, then the derivative, using the chain rule, is given by $$ f'(x)=7^{-2x}(-2x)'\ln 7=-2 (\ln 7) 7^{-2x}.$$
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