Question

How do you differentiate `f(x) = e^(-5x^2)`?

Answer 1

`-10xe^(-5x^2)`

Explanation:

Finding derivatives in the form `e^u` is quite simple.

According to the chain rule,

`d/dx[e^u]=e^u*u'`

Thus,

`f'(x)=d/dx[e^(-5x^2)]=e^(-5x^2)*d/dx[-5x^2]=-10xe^(-5x^2)`