Question

How do you use a calculator to find the derivative of `f(x)=e^(x^2)` ?

Answer 1

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

Solution :

let's `y=e^f(x)`

then, differentiating with respect to `x` using Chain Rule, we get

`y'=e^f(x)*f'(x)`

similarly following for the given function,

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

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

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