Calculus: Early Transcendentals (2nd Edition)

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: 13

Answer

$\frac{d}{dx}(ln|\sin(x)|) =\cot(x)$

Work Step by Step

Using Chain Rule: $\frac{d}{dx}(\ln|\sin(x)|) = \cos(x)*\frac{1}{\sin(x)} = \frac{\cos(x)}{\sin(x)} = \cot(x)$
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