Hi i'm just looking to see if i've got this right:

differentiate:

$\displaystyle \frac{e^x}{e^x+e^{-x}}$

I got this:

$\displaystyle \frac{2}{e^{2x}+e^{-2x}}$

Something at the back of my head says "that looks wrong" so i'm seeking clarifcation and/or guidance

Thank you