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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)
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) fox(1, 1) = 7, fxy(1, 1) = 2, f (1, 1) = 1 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) fx(1, 1) = 7, fxy(1, 1) = 4, fyy (1, 1) = 1 The critical point (1, 1) is a local minimum. O 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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