Answer
$\coth z$
Work Step by Step
As we know, $\dfrac{d}{dx} (\sinh x)=cosh x$
Given: $y=\ln (\sinh z)$
Now, $\dfrac{dy}{dz}= (\cosh z) \dfrac{1}{(\sinh z)} =\coth z$
Thomas' Calculus 13th Edition
by Thomas Jr., George B.
Published by
Pearson
ISBN 10:
0-32187-896-5
ISBN 13:
978-0-32187-896-0
Chapter 7: Transcendental Functions - Section 7.7 - Hyperbolic Functions - Exercises 7.7 - Page 430: 17
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