Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 3 - Differentiation - 3.6 Trigonometric Functions - Exercises: 7

Answer

$2sin(x)cos(x)$

Work Step by Step

The derivative of a product is equal to $u'v+uv'$. (Product Rule) Rewriting $sin^{2}(x)$ as $sin(x) \times sin(x)$ gives the derivative as $sin(x)(sin(x))'+(sin(x))'sin(x)$, or $2sin(x)cos(x)$.
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