Calculus 10th Edition

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

Chapter 2 - Differentiation - 2.4 Exercises: 122

Answer

$f'(x)=\dfrac{\cos{x}\sin{x}}{|\sin{x}|};x\ne n\pi$ for $n=0, 1, 2, 3, ...$

Work Step by Step

Using the Chain Rule: $u=\sin{x}$; $u'=\cos{x}$ $f'(x)=u'\dfrac{u}{|u|}$ $=\dfrac{\cos{x}\sin{x}}{|\sin{x}|};x\ne n\pi$ for $n=0, 1, 2, 3, ...$
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