Find all the local maxima, local minima, and saddle points of the function. £(x_ y) = (x2 – 36)² - (v2 - 16) O A. f(0, 0) = 1040, saddle point; f(6, 4) = 0, saddle point; f(6, -4) = 0, saddle point; f(-6, 4) = 0, saddle point; f(-6, -4) = 0, saddle point O B. f(0, 0) = 1040, saddle point; f(0, 4) = 1296, local maximum; f(0, -4) = 1296, local maximum; f(6, 0) = -256, local minimum; f(6, 4) = 0, saddle point; f(6, -4) = 0, saddle point; f(-6, 0) = -256, local minimum; f(-6, 4) = 0, saddle point; f(-6, -4) = 0, saddle point O C. f(0, 0) = 1040, saddle point; f(0, 4) = 1296, local maximum; f(6, 0) = -256, local minimum O D. f(0, 4) = 1296, local maximum; f(0, -4) = 1296, local maximum; f(6, 0) = -256, local minimum; f(-6, 0) = -256, local minimum

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