Product Rule for Derivatives/Examples/2 a x times Exponential of a x^2

Examples of Use of Product Rule for Derivatives

 * $\map {\dfrac \d {\d x} } {2 a x e^{a x^2} } = 2 a e^{a x^2} \paren {1 + 2 a x^2}$

Proof
Let $u = 2 a x$.

Let $v = e^{a x^2}$.

Thus we have:
 * $y = u v$

and so: