Find all the local maxima, local minima, and saddle points of the function.
A. f(0, 0) = -3439, saddle point; f(9, 10) = 0, saddle point; f(9, -10) = 0, saddle point;
f(-9, 10) = 0, saddle point; f(-9, -10) = 0, saddle point
B. f(0, 0) = -3439, saddle point; f(0, 10) = 6561, local maximum; f(0, -10) = 6561, local maximum;
f(9, 0) = -10,000, local minimum; f(9, 10) = 0, saddle point; f(9, -10) = 0, saddle point;
f(-9, 0) = -10,000, local minimum; f(-9, 10) = 0, saddle point; f(-9, -10) = 0, saddle point
C. f(0, 0) = -3439, saddle point; f(0, 10) = 6561, local maximum; f(9, 0) = -10,000, local minimum
D. f(0, 10) = 6561, local maximum; f(0, -10) = 6561, local maximum; f(9, 0) = -10,000, local minimum;
f(-9, 0) = -10,000, local minimum
Answer: B
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