Answer
$$ f'(x)=-2 (\ln 7) 7^{-2x}.$$
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
$$ f'(x)=7^{-2x}(-2x)'\ln 7=-2 (\ln 7) 7^{-2x}.$$
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: 29
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
