Derivative of Composite Function/Examples/Exponential of a x^2

Example of Derivative of Composite Function

 * $\map {\dfrac \d {\d x} } {e^{a x^2} } = 2 a x e^{a x^2}$

Proof
Let $u = a x^2$.

Let $y = e^u$.

Thus we have:
 * $y = e^{a x^2}$

and so: