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: 20


$2\cot x$

Work Step by Step

$\frac{d}{dx}\ln(\sin^2x)$ $=\frac{1}{\sin^2x}*\frac{d}{dx}\sin^2x$ $=\frac{1}{\sin^2x}*2\sin x *\frac{d}{dx}\sin x$ $=\frac{1}{\sin^2x}*2\sin x *\cos x$ $=\frac{2\cos x}{\sin x}$ $=2\cot x$
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