Answer
$y’= -4 ln 5 (5^{-4x})$
Work Step by Step
$y=5^{-4x}$
$ln y = -4x \ln 5$
$\frac{dy}{y}=-4 \ln 5$
$dy = -4y \ln 5 $
$y’= -4 ln 5 (5^{-4x})$
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 - 5.5 Exercises - Page 362: 39
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