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)

f (x) = 5 x^{2} + 10 x

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

f (x) = x^{3} + 5 x^{2} - 9 x + 1

f (x, y) = 3 x y + x^{2} y

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

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)