# How do you differentiate sin^7(x)?

Jun 29, 2016

$= 7 {\sin}^{6} x \setminus \cos x$

#### Explanation:

$D \left({\sin}^{7} x\right)$

by power rule and chain rule

$= 7 {\sin}^{6} x \cdot D \left(\sin x\right)$

$= 7 {\sin}^{6} x \setminus \cos x$