Question

Derivative of f(x)=e^x^2?

Answer 1

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

Explanation:

We have a chain rule we have the outside function `f(u)=e^u`

and the inside function `u=x^2`

Chain rule is derive both functions and then multiply the derivatives

so `f'(u)*u'`

`f'(u)=e^u`
`u'=2x`

Mutply derivatives

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