Which of the following conditions correctly identifies a SADDLE POINT in unconstrained optimization of f(x, y)?

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Mathematics · Multivariable Calculus

Verified Solution4 OptionsUpdated: October 2026👁️1 View

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fx = 0, fy = 0, and fxx·fyy - (fxy)2 < 0

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Answer 1

fx = 0, fy = 0, fxx > 0, fyy > 0

Answer 2

fx = 0, fy = 0, and fxx·fyy - (fxy)2 < 0

Answer 3

fx = 0, fy = 0, and fxx·fyy - (fxy)2 > 0 with fxx < 0

Answer 4

fxx < 0 and fyy < 0

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