Question: (Max 20%) For functions of one variable it is impossible for a continuous function to have two local maxima and no local minimum. But for

(Max 20%) For functions of one variable it is impossible for a continuous function to have two local maxima and no local minimum. But for functions of two variables such functions exist. Show that the functionf(x,y)=-(x2-1)2-(x2y-x-1)2has two critical points but has a local maxima at both of them. Solve on paper

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