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

A. f(0, 0) = 641, local maximum; f(2, 5) = 0, local minimum; f(2, -5) = 0, local minimum;
  local minimum; f(-2, -5) = 0, local minimum
B. f(0, 0) = 641, local maximum; f(-2, -5) = 0, local minimum
C. f(0, 0) = 641, local maximum; f(0, 5) = 16, saddle point; f(2, 0) = 625, saddle point;
f(2, 5) = 0, local minimum; f(-2, -5) = 0, local minimum
D. f(0, 0) = 641, local maximum; f(0, 5) = 16, saddle point; f(0, -5) = 16, saddle point;
f(2, 0) = 641, saddle point; f(2, 5) = 0, local minimum; f(2, -5) = 0, local minimum;
f(-2, 0) = 625, saddle point; f(-2, 5) = 0, local minimum; f(-2, -5) = 0, local minimum


Answer: D

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