These are the question to that function that I'm struggling with:
- Find the partial derivatives of first and second order of $f(x, y)$.
- Find the stationary points of $f(x, y)$ and determines for each point on it/they are a local maximum point, the local minimum point or saddle point.
- Is it possible to say something about the function has maximum and minimum values based on the information you have found?
I've tried over and over and I'm getting real frustrated. It's a bonus problem that I really don't have to do, but I'd like to anyway.
What I got on first problem:
First order: $f'_x(x,y) = (2x-5y)\cdot e^y$ and $f'_y(x,y)= -5x\cdot e^y$.