What is the extreme f(x,y)=-3x^2+5xy-2y^2+x+y ?

The extreme f(x,y)=-3x^2+5xy-2y^2+x+y is Saddle(-9,-11)

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extreme f(x,y)=-3x^2+5xy-2y^2+x+y

extreme points

f (x, y) = - 3 x^{2} + 5 x y - 2 y^{2} + x + y

Saddle (- 9, - 11)

Solution steps

Find the critical points:

(- 9, - 11)

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

D (x, y) = - 1

Check the sign of at each critical point

Check critical point

(- 9, - 11) :

Saddle

Saddle (- 9, - 11)

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

f (x) = ln (y - x) + ln (y + x) + ln (16 - y)

f (x) = x^{2} - \frac{1}{2} y^{2} + 3 x

f (x) = (x - 3) e^{x}

f (x, y) = x ln (x + y)

What is the extreme f(x,y)=-3x^2+5xy-2y^2+x+y ?
The extreme f(x,y)=-3x^2+5xy-2y^2+x+y is Saddle(-9,-11)