Calculus 8th Edition

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

Chapter 6 - Inverse Functions - 6.2* The Natural Logarithmic Functions - 6.2* Exercises - Page 446: 23


$\frac{\sin x}{x}+\cos x\ln(5x)$

Work Step by Step

$\frac{d}{dx}\sin x\ln(5x)$ $=\sin x\frac{d}{dx}\ln(5x)+\ln(5x)\frac{d}{dx}\sin x$ $=\sin x\frac{1}{5x}\frac{d}{dx}(5x)+\ln(5x)\cos x$ $=\sin x\frac{1}{5x}*5+\cos x\ln(5x)$ $=\frac{\sin x}{x}+\cos x\ln(5x)$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.