Find, and Classify, the Stationary Points of the Function

Multiple Choice

Find, and classify, the stationary points of the function
f(x, y) = x3 + x2 - xy + y2 + 10

A) Minimum at (0, 0) and saddle point at (-0.5, -0.25)
B) Maximum at (0, 0) and saddle point at (-0.5, -0.25)
C) Maximum at (0, 0) and saddle point at (0.5, 0.25)
D) Maximum at (0, 0) and saddle point at (-0.5, 0.25)
E) Minimum at (0, 0) and saddle point at (0.5, 0.25)