A function f(x,y) has critical points at (0,0) and (1,0). The second derivatives of f(x,y)f(x,y) are listed below to help you classify each critical point as a local maximum, a local minimum, or a saddle point, or state that the test is inconclusive.

fxx=(2y^2)2; fyy=(2x^2)2; fxy=4xy

The point (0,0) is (a local minimuma OR local maximuma OR saddle point OR unknown since the second derivative test is inconclusive.)

The point (1,0) is (a local minimuma OR local maximuma OR saddle point OR unknown since the second derivative test is inconclusive.)

Please answer all parenthesis there should be two answers