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 - Page 362: 38

Answer

$f’(x)=4(3^{4x})(\ln 3)$

Work Step by Step

$f(x)=3^{4x}$ $y=3^{4x}$ $\ln y=4x \ln 3$ $\frac{dy}{y} = 4 \ln 3$ $dy=4y \ln 3$ $f’(x)=4(3^{4x})(\ln 3)$
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