∂^2 f/(∂x ∂y): http://www.wolframalpha.com/input/?i=-2+x^5+y^3+(-4%2Bx%2By)^5+(192-152+x%2B26+x^2-180+y%2B80+x+y%2B33+y^2)+%3D+0,+Solve+for+x
where I told Wolfram Alpha to isolate x for each equation with partial derivatives because I think that's what I need to do in order to get the critical points.
I'm confused as to what I need to do next. I heard about a Hessian matrix method but I don't know if that's necessary or if I can just do a regular system of equations. I read the Paul's Online Notes website but I'm still stuck for this particular problem.
What do I do when I solve for x when each of the equations are equal to 0? If anything is unclear, just ask me to clarify it.
Any input would be appreciated!
Thanks in advance!