Taking the Derivative of f(x) = exp(-x^2)

[ksle82]

given function f(x) =exp(-x^2)

is f'(x) = -x^2*exp(-x^2), or

f'(x) = -x^2*exp(-x^2)*-2x= 2x^3*exp(-x^2)

just confused what the rules are when taking the derivation of those kind sof function

 

[HallsofIvy]

What's wrong with the chain rule?

 

[benorin]

$$f^{\prime}(x) = \frac{d}{dx} \left( e^{-x^2}\right) = e^{-x^2}\frac{d}{dx}\left( -x^2\right)$$

that's the chain rule step, finish it off.