What is the extreme-3x^2+5xy-2y^2+x+y ?

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

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extreme-3x^2+5xy-2y^2+x+y

extreme points

- 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) = - x^{2} + 6 x + 1, 5 \leq x \leq 8

f (x) = x^{3} + 2 x^{2} - 4 x + 8

f (x) = x^{3} - 3 x, 0 \leq x \leq 3

f (x, y) = x^{2} + y^{2} - 81

f (x, y) = 2 x^{2} + y^{2} + y + 1

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