Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 6 - Inverse Functions - 6.4 Derivatives of Logarithmic Functions - 6.4 Exercises: 7

Answer

$\frac{-\sin x}{(1+\cos x)\ln 10}$

Work Step by Step

$\frac{d}{dx}\log_{10}(1+\cos x)$ $=\frac{1}{(1+\cos x)\ln 10}\frac{d}{dx}(1+\cos x)$ $=\frac{-\sin x}{(1+\cos x)\ln 10}$
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