Given [tex]n\geq 2, n\in \aleph[/tex] and [tex]f(x,y)=a*x^n+c*y^n[/tex] where [tex]a*c\not=0[/tex], determine the nature of the critical points. I found the only critical point at (0,0) and when i tried to use the criteria of the determinant of the hessian matrix to determine the kind of critical point it was, it gave me 0, so i can`t say nothing by this criteria.(adsbygoogle = window.adsbygoogle || []).push({});

I dont know what kind of analysis of the function i am supposed to do, so any help would be much appreciated.

Many Thanks, Paul.

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# Critical points

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