I have,

e^-(x+y)

I need to find what the derivative is with respect to Y. My answer I found was simply the same as above and I didn't seem to think it was correct.

Printable View

- Feb 24th 2009, 07:05 PMIceman75xMulti-variable Derivative of e raised to a negative power
I have,

e^-(x+y)

I need to find what the derivative is with respect to Y. My answer I found was simply the same as above and I didn't seem to think it was correct. - Feb 24th 2009, 08:57 PMlllll
$\displaystyle e^{-(x+y)}$ can be rewritten as $\displaystyle e^{-x-y}=e^{-x}e^{-y}$ so if you treat e^{-x} as a constant then you just have to differentiate $\displaystyle \frac{\partial}{\partial y} e^{-x}e^{-y} =-e^{-x}e^{-y}

=-e^{-x-y}=-e^{-(x+y)}$

so your final solution should be:

$\displaystyle -e^{-(x+y)}$