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)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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)

f (x) = x^{\frac{5}{3}} - 12 x^{\frac{2}{3}}

f (x) = x^{3} + 10 x^{2} + 25 x - 50

f (x, y) = x \cdot e^{- \frac{x ^{2}}{2} - \frac{y ^{2}}{2}}

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

f (x) = 2 x^{2} ln (x)

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)