Derivative of Composite Function/Examples/Sine of 2 x Cubed

Example of Derivative of Composite Function

 * $\map {\dfrac \d {\d x} } {\sin^3 2 x} = 6 \sin^2 2 x \cos 2 x$

Proof
Let $u = \sin 2 x$.

Let $y = u^3$.

Thus we have:
 * $y = \sin^3 2 x$

and so: