# Chapter 3 - Differentiation - 3.6 Trigonometric Functions - Exercises - Page 140: 7

$2sin(x)cos(x)$

#### 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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