Find extrema of a two variable function

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Bruno José Zavala
Bruno José Zavala 2019-7-23
回答： Walter Roberson 2019-7-23
I want to find the extrema (max and minimun) of the next function, such that -2<=x<=2 and -2<=y<=2
(sqrt(40*(x.^2).*(y.^2) +164*x.^2 -152*(x.^2).*(y)+ 8.*x.*(y.^2)+ 156*x -120*x.*y +26*y.^2 -56*y +45))./(-4*(x.^2)+4*x+3)
But I dont get no conclusive result.

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回答（1 个）

Walter Roberson
Walter Roberson 2019-7-23
The denominator can be 0 at two x values in that range, and the denominator can change sign. Depending on the sign of the denominator close to those two x, the value will approach arbitrarily close to +/- infinity.

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