Derivative of Composite Function/Examples/sin(x^2)

Example of Derivative of Composite Function

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

Proof
Let $y = x^2$.

Let $z = \sin y$.

Then we have:
 * $z = \map \sin {x^2}$

and so: