Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 3 - Section 3.6 - Derivatives of Logarithmic Functions - 3.6 Exercises - Page 223: 37



Work Step by Step

$f(x)=cx+\ln (\cos x)\\ f^{\prime}(x)=c+\frac{1}{\cos x} \times-\sin x\\ f^{\prime}(x)=c-\tan x\\ 6=c-\tan \left(\frac{\pi}{4}\right)\\ 6=c-1\\ c=7$
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