Question: second derivative test (1 point) Let f(x, y) = x + kxy + y where k is a constant. For what values of & does

second derivative test

second derivative test (1 point) Let f(x, y) = x + kxy

(1 point) Let f(x, y) = x + kxy + y where k is a constant. For what values of & does the Second Derivative Test guarantee that f(x, y) will have a saddle point at the origin? KE For what values of & does the Second Derivative Test guarantee that f (x, y) will have a local minimum at the origin? KE For what values of & does the Second Derivative Test guarantee that f(x, y) will have a local maximum at the origin? KE For what values of the constant & will the Second Derivative Test be inconclusive for f(x, y) at the origin? KE Enter your answers using interval notation

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