Question

How do you find the derivative of `e^((x^2)/2)`?

Answer 1

`f'(x) = xe^(x^2/2)`

Explanation:

`f(x) = e^(x^2/2)`

We need to use the chain rule:

`f'(x) = (d(e^(x^2/2)))/(d(x^2/2)) * (d(x^2/2))/(dx)`

`f'(x) = e^(x^2/2) * ((2x)/2)`

`f'(x) = xe^(x^2/2)`