Question

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

Answer 1

`xe^(x^2/2)`

Explanation:

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

Applying the chain rule:

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

`= e^(x^2/2) *(2x)/2` Power rule

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