What is the extreme f(x,y)=x^2=xy+y^2-16y+85 ?

The extreme f(x,y)=x^2=xy+y^2-16y+85 is Saddle(16,0)

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extreme f(x,y)=x^2=xy+y^2-16y+85

extreme

Saddle (16, 0)

Solution steps

Find the critical points:

(16, 0)

\frac{\partial ^{2} f}{\partial x ^{2}} = 2

D (x, y) = - 1

Check the sign of at each critical point

Check critical point

(16, 0) :

Saddle

Saddle (16, 0)

What is the extreme f(x,y)=x^2=xy+y^2-16y+85 ?
The extreme f(x,y)=x^2=xy+y^2-16y+85 is Saddle(16,0)