(d) If f(x, y) has a local maximum at (a, b) and f is differentiable at (a, b), then Vf(a, b) = 0. (c) If f(r, y) has a critical point at (a, b) and frr(a, b) fyy(a, b) is less than [fry(a, b)]² then f has a saddle point at (a, b). (f) If F is a vector field, then div F is a vector field.

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