We've work on these types of problems in class; however, not with e so im having trouble finding the critical points.

f(x,y)=xye^(y-(x^2)) on the rectangular region bounded by x=0, x=5, y=0, y=-3

we have to find the critical points and we also have to list the corner points and list our min and max

i differentiated it and i think im okay so far

F with respect to x = ye^(y-(x^2))+xy(e^(y-(x^2))(-2x)

F with respect to y = xe^(y-(x^2))+xy(e^(y-(x^2))(1)