# help with partial derivative of e^(xe^y) in tems of y

#### sj9110

I have to find Fy of e^(xe^y) .. Fx is no problem but I can't seem to figure out how to take the partial derivative in terms of y of e^(xe^y) ... the syntax of the two exponential functions is really confusing me.

Thanks,
Jeff

#### Ackbeet

MHF Hall of Honor
There's actually less there than meets the eye. Use the chain rule a few times to get your result.

$$\displaystyle f(x,y)=e^{xe^y}$$
$$\displaystyle \frac{\partial f}{\partial y}=\left(\frac{\partial}{\partial y}xe^y}\right)e^{xe^y}$$