Find all the local maxima, local minima, and saddle points of the function.

A. f(0, 0) = -671, saddle point; f(5, 6) = 0, saddle point; f(5, -6) = 0, saddle point;
f(-5, 6) = 0, saddle point; f(-5, -6) = 0, saddle point
B. f(0, 6) = 625, local maximum; f(0, -6) = 625, local maximum; f(5, 0) = -1296, local minimum;
f(-5, 0) = -1296, local minimum
C. f(0, 0) = -671, saddle point; f(0, 6) = 625, local maximum; f(5, 0) = -1296, local minimum
D. f(0, 0) = -671, saddle point; f(0, 6) = 625, local maximum; f(0, -6) = 625, local maximum;
f(5, 0) = -1296, local minimum; f(5, 6) = 0, saddle point; f(5, -6) = 0, saddle point;
f(-5, 0) = -1296, local minimum; f(-5, 6) = 0, saddle point; f(-5, -6) = 0, saddle point


Answer: D

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