Suppose that f (x, y) has continuous second-order partial derivatives everywhere and that the origin is a critical point for f. State what information (if any) is provided by the second partials test if (a) fxx (0, 0) = 2, fxy(0, 0) = 2, fyy(0, 0) = 2 (b) fxx (0, 0) = -2, fxy(0, 0) = 2, fyy(0, 0) = 2 (c) fxx (0, 0) = 3, fry(0, 0) = 2, fyy(0, 0) = 2 уу %3D %3D (d) fxx(0, 0) -3, fxy(0, 0) = 2, fyy(0, 0) = -2. = ху уу (a) [ Choose ] [Choose ] a saddle point at (0,0) a relative maximum at (0,0) (b) no conclusion a relative minimum at (0,0) (c) [ Choose ] (d) [ Choose ]

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