Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 5 - Logarithmic, Exponential, and Other Transcendental Functions - 5.1 Exercises - Page 325: 62



Work Step by Step

$y=ln|csc(x)|$ $\frac{d}{dx}csc(x)=-(csc(x)cot(x))1$ $\frac{d}{dx}ln|x|=\frac{1}{x}$ $\frac{d}{dx}ln|csc(x)|=-\frac{csc(x)cot(x)}{csc(x)}$ $=\boxed{-\cot(x)}$
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