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

A. f(0, 0) = 5392, local maximum; f(0, 8) = 1296, saddle point; f(6, 0) = 4096, saddle point;
f(6, 8) = 0, local minimum; f(-6, -8) = 0, local minimum
B. f(0, 0) = 5392, local maximum; f(0, 8) = 1296, saddle point; f(0, -8) = 1296, saddle point;
f(6, 0) = 5392, saddle point; f(6, 8) = 0, local minimum; f(6, -8) = 0, local minimum;
f(-6, 0) = 4096, saddle point; f(-6, 8) = 0, local minimum; f(-6, -8) = 0, local minimum
C. f(0, 0) = 5392, local maximum; f(6, 8) = 0, local minimum; f(6, -8) = 0, local minimum;
  local minimum; f(-6, -8) = 0, local minimum
D. f(0, 0) = 5392, local maximum; f(-6, -8) = 0, local minimum


Answer: B

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