How do you find the derivative of sin^7(x)?

Sep 17, 2015

$7 \cos x {\sin}^{6} x$
${\sin}^{7} x$ may be wriiten as ${\left(\sin x\right)}^{7}$
$\therefore \frac{d}{\mathrm{dx}} {\sin}^{7} x = 7 {\sin}^{6} x \cdot \cos x$