1. The problem statement, all variables and given/known data find local max min and saddle point. f(x,y)= sin(x)sin(y), -pi<x<pi, -pi<y<pi 2. Relevant equations none 3. The attempt at a solution fx = cos(x)sin(y) fy= sin(x)cos(y) now how do I get the critical points, I know how to get max min and saddle point, but I don't know how to get critical points from this equation. when fx fy = 0, we got the critical point, I know there is (0,0), how do I find the others. I got another points (pi/2,pi/2), (-pi/2,-pi/2). is there more?