Suppose that the Second Derivatives Test is applied to a real-valued function z = f(x, y), whose second partial derivatives are continuous on a disk D centered at (a, b). af Suppose that (a, b) is a critical point of the functionf such that. (a, b) = 0 and (a, b) = 0. %3D %3D It is found that D(a, b) = -4 and (a, b) = 12 at the critical point (a, b). Which of the following %3D %3D statements is true? O The Second Derivatives test is inconclusive. The function has a local maximum value f(a, b). O The function has a local minimum value f(a, b). O There is a saddle point (a, b, f(a, b)).

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