What is the extreme f(x,y)=-6x^2+5xy-y^2+x+y ?

The extreme f(x,y)=-6x^2+5xy-y^2+x+y is Saddle(-7,-17)

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extreme f(x,y)=-6x^2+5xy-y^2+x+y

extreme points

f (x, y) = - 6 x^{2} + 5 x y - y^{2} + x + y

Saddle (- 7, - 17)

Solution steps

Find the critical points:

(- 7, - 17)

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

D (x, y) = - 1

Check the sign of at each critical point

Check critical point

(- 7, - 17) :

Saddle

Saddle (- 7, - 17)

What is the extreme f(x,y)=-6x^2+5xy-y^2+x+y ?
The extreme f(x,y)=-6x^2+5xy-y^2+x+y is Saddle(-7,-17)