Critical Points

x = , y =
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Summary:
Let fx = fy = 0 at (x0, y0).
Discriminant = fxxfyy - (fxy)2
If discriminant > 0 and fxx(x0, y0) > 0, then (x0, y0, z0) is a local minimum point.
If discriminant > 0 and fxx(x0, y0) < 0, then (x0, y0, z0) is a local maximum point.
If discriminant < 0, then (x0, y0, z0) is a saddle point.
If discriminant = 0, the 2nd derivative test is inconclusive.

You can define functions using these operators:
+-*/^
abs( )sqrt( )ln( )exp( )pi
sin( )cos( )tan( )
asin( )acos( )atan( )