Question

What is the derivative of `e^(x^2)`?

Answer 1

`d/dxe^(x^2)=2xe^(x^2)`

Explanation:

In general, when applying the Chain Rule to the exponential,

`d/dxe^u=e^u(du)/dx`.

Here, `u=x^2,` so

`d/dxe^(x^2)=e^(x^2)d/dxx^2`

`d/dxe^(x^2)=2xe^(x^2)`