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**1. Homework Statement**

find local max min and saddle point.

f(x,y)= sin(x)sin(y), -pi<x<pi, -pi<y<pi

**2. Homework 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?

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