What is the extreme f(x)=-6x^2+7xy-2y^2+x+y ?

The extreme f(x)=-6x^2+7xy-2y^2+x+y is Saddle(-11,-19)

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extreme f(x)=-6x^2+7xy-2y^2+x+y

extreme points

f (x) = - 6 x^{2} + 7 x y - 2 y^{2} + x + y

Saddle (- 11, - 19)

Solution steps

Find the critical points:

(- 11, - 19)

\frac{\partial ^{2} f}{\partial x ^{2}} = - 4

D (x, y) = - 1

Check the sign of at each critical point

Check critical point

(- 11, - 19) :

Saddle

Saddle (- 11, - 19)

What is the extreme f(x)=-6x^2+7xy-2y^2+x+y ?
The extreme f(x)=-6x^2+7xy-2y^2+x+y is Saddle(-11,-19)