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 $2sin(x)cos(x)$.
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 3 - Differentiation - 3.6 Trigonometric Functions - Exercises - Page 140: 7
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