Values of f(x, y) and its derivatives are given in Table 8.13.
(a) Identify which points in Table 8.13 are critical points of f.
(b) For each critical point, determine whether it is a local minimum, maximum, or saddle point.

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Table 8.13 Values of f and its derivatives (x, y) yy (0,0) 0 0 0 -2 -3 (1,0) -4 0 0 1 -1 (0,1) -6 0 -1 -1 -1 -40 0 -1 -6 1 0 1 (-1,0) (0, -1) xy -2 -2 2 -2 1 2 1