Can you explain how to take the partial derivative with respect to x and y on the following function?
$\displaystyle f(x,y)=x^2e^y-ye^x$
$\displaystyle f(x,y)=x^2e^y-ye^x$
To get the partial derivative wrt. x, you treat the y as a constant and differentiate as normal with respect to x.
$\displaystyle {\delta_x}=2xe^y-ye^x$
So to get the partial derivative wrt. y, you treat the x as a constant and differentiate as normal wrt y.