Find all points where the function has any relative extrema or saddle points and identify the type of relative extremum.f(x,y) = x2 + 2y2 - xy2

A. Relative minimum at (0, 0) and saddle points at (2, 2) and (2, -2)
B. Relative maximum at (0, 0) and saddle points at (2, 2) and (2, -2)
C. Relative minimum at (0, 0) and relative maxima at (2, 2) and (2, -2)
D. Saddle point at (0, 0) and relative minima at (2, 2) and (2, -2)


Answer: A

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