Derivative of Composite Function/Examples/Exponential of 3 x^2 + 4

Example of Derivative of Composite Function

 * $\map {\dfrac \d {\d x} } {e^{3 x^2 + 4} } = 6 x e^{3 x^2 + 4}$

Proof
Let $u = 3 x^2 + 4$.

Let $y = e^u$.

Thus we have:
 * $y = e^{3 x^2 + 4}$

and so: