Answer
$\frac{-\sin x}{(1+\cos x)\ln 10}$
Work Step by Step
$\frac{d}{dx}\log_{10}(1+\cos x)$
$=\frac{1}{(1+\cos x)\ln 10}\frac{d}{dx}(1+\cos x)$
$=\frac{-\sin x}{(1+\cos x)\ln 10}$
Calculus 8th Edition
by Stewart, James
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 - Page 436: 7
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