Calculus 8th Edition

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: 20

Answer

$\csc x$

Work Step by Step

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