How do you find the derivative of  f(x) = sin ^{ 3 }x using the chain rule?

Nov 22, 2015

$f ' \left(x\right) = 3 {\sin}^{2} x \cos x$
$f \left(x\right) = {\sin}^{3} x$
Apply the power rule to ${\sin}^{3} x$ and then multiply by the derivative of $\sin x \Rightarrow$
$f ' \left(x\right) = 3 {\sin}^{2} x \cos x$