Calculus 10th Edition

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: 39

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 $ $y’= -4 ln 5 (5^{-4x})$
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