Please help me find the first derivative, dy/dx, of $(xy)^x=e$

Wolfram alpha gives me the solution, how they explained to get there is confusing

-
Welcome to MSE! Can you show us what you have tried and why you are confused? Also, it helps to format question in laTex / MathJax for readability. Regards – Amzoti Mar 11 '13 at 12:45

$\frac{d}{dx} x\ln \left(xy\right) = \ln(xy)+1$
what? you question is a bit unclear why do you try to differentiate 1? One is a constant, thus when you differentiate a constant it equals zero. Also, are you in the Reals or Complex or some other metric space? Are you asking for which value of $x$ or $y$ will make the derivative equal to one? – yiyi Mar 11 '13 at 12:56