Answer
$\frac{d}{dx}(ln|\sin(x)|) =\cot(x)$
Work Step by Step
Using Chain Rule:
$\frac{d}{dx}(\ln|\sin(x)|) = \cos(x)*\frac{1}{\sin(x)} = \frac{\cos(x)}{\sin(x)} = \cot(x)$
Calculus: Early Transcendentals (2nd Edition)
by Briggs, Bill L.; Cochran, Lyle; Gillett, Bernard
Published by
Pearson
ISBN 10:
0321947347
ISBN 13:
978-0-32194-734-5
Chapter 3 - Derivatives - 3.9 Derivatives of Logarithmic and Exponential Functions - 3.9 Exercises - Page 211: 13
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