#### Answer

$cos^{2}(x)-sin^{2}(x)$

#### Work Step by Step

Using the product rule for differentiation, or $[uv]'=u'v+vu'$, the derivative of $sin(x)cos(x)$ is $sin(x)[cos(x)]'+[sin(x)]'cos(x)$, or $cos^{2}(x)-sin^{2}(x)$.

Published by
W. H. Freeman

ISBN 10:
1464125260

ISBN 13:
978-1-46412-526-3

$cos^{2}(x)-sin^{2}(x)$

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