Question

Q. find the maximum and minimum value of the function f(x,y)=x^4+y^4-2x^2+4xy-2y^2
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Answer 1

Answer:

Step-by-step explanation:

f(x,y)=x4+y4−2x2−2y2+4xy, I need to find maxima or minima. There are three critical points: (0,0),(2–√,−2–√),(−2–√,2–√) So at (2–√,−2–√), f has minimum value, −8 and at (−2–√,2–√), it has same minimum value, −8. At (0,0), after inspecting, I get that it has neither maxima or minima. But when we substitute (0,0), we get 0≤f≤8, so should not we get (0,0) as a point of maxima

Step-by-step explanation:

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