Answer
$c=7$
Work Step by Step
$f(x)=cx+\ln (\cos x)\\
f^{\prime}(x)=c+\frac{1}{\cos x} \times-\sin x\\
f^{\prime}(x)=c-\tan x\\
6=c-\tan \left(\frac{\pi}{4}\right)\\
6=c-1\\
c=7$
Calculus: Early Transcendentals 9th Edition
by Stewart, James
Published by
Cengage Learning
ISBN 10:
1337613924
ISBN 13:
978-1-33761-392-7
Chapter 3 - Section 3.6 - Derivatives of Logarithmic Functions - 3.6 Exercises - Page 224: 43
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