derivative

[UrbanXrisis]

f(x)=2xe^(-x)

what is derivative?

f(x)=(2x)/(e^x)
f'(x)={{2e^x}-{2x^2e^{x-1}}}/(e^x)^2

can I simplify this?

[Integral]

Recall that:
\frac {d e^x} {dx} = e^x
then apply the chain rule.

[FZ+]

Surely easier to do by product rule!

f'(x)=2e^-^x - 2xe^-^x

or even:

f'(x)=(2 - 2x)e^-^x

[UrbanXrisis]

gee thanks!
The questions acually asks to find each critical point of f and whether f(x) is a relative maximum, relative minimum, or neither. I set f'(x) to zero and solved. I got x=1.

I found it to be a maximum value. Is this correct?