# Thread: Derivative

1. ## Derivative

derivative of ( xe^-x)^1/2

2. Originally Posted by pageraets
derivative of ( xe^-x)^1/2
use the chain rule: $\frac d{dx}f(g(x)) = f'(g(x)) \cdot g'(x)$ (here $f(x) = x^{1/2}$ and $g(x) = xe^{-x}$)

or, you can distribute the power so you can use the product rule

note, $\left( x e^{-x}\right)^{1/2} = x^{1/2}e^{-x/2}$

can you continue?