What is the derivative of sin^3x?

Mar 3, 2018

Basic formula:

$\frac{d}{\mathrm{dx}} {x}^{n} = n {x}^{n - 1}$

$\frac{d}{\mathrm{dx}} \left(\sin x\right) = \cos x$

Now, let's move to the question:
$\textcolor{w h i t e}{=} \frac{d}{\mathrm{dx}} \left({\sin}^{3} x\right)$
=(3sin^2x)×(d/dx(sinx))
$= 3 {\sin}^{2} x \cos x$

It may be useful for you👍