Question: suppose an unknown function f(x,y) has critical points (a,b) and (c,d). We do not know the points, but we do know the discriminant and fsubxx

suppose an unknown function f(x,y) has critical points (a,b) and (c,d). We do not know the points, but we do know the discriminant and fsubxx at each point: D(a,b)=-13, fxx(a,b)=-4, D(c,d)=21, fxx(c,d)=-6. Use this information to classify both points as a local min, local max, saddlepoint, or state that the second derivative test is inconclusive.

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