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: 21



Work Step by Step

$\frac{d}{dx}\ln \frac{1}{x}$ $=\frac{1}{\frac{1}{x}}\frac{d}{dx}\frac{1}{x}$ $=x*\frac{d}{dx}x^{-1}$ $=x*(-1)x^{-2}$ $=-\frac{x}{x^2}$ $=-\frac{1}{x}$
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.