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Suppose (1,1) is a critical point of a function f with continuous second derivatives. In each case, what can you say about f ? (a)

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Suppose (1,1) is a critical point of a function f with continuous second derivatives. In each case, what can you say about f ? (a) fxx(1,1)=1,fxy(1,1)=2,fyy(1,1)=5 The critical point (1,1) is a local minimum. The critical point (1,1) is a local maximum. The critical point (1,1) is a saddle point. Nothing can be determined about the critical point (1,1). (b) fxx(1,1)=1,fxy(1,1)=3,fyy(1,1)=5 The critical point (1,1) is a local minimum. The critical point (1,1) is a local maximum. The critical point (1,1) is a saddle point. Nothing can be determined about the critical point (1,1)

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