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

The FUNCTION_MANY#extreme f(x,y)=x^2+xy+y^2-2x-y is Minimum(1,0)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

FUNCTION_MANY#extreme f(x,y)=x^2+xy+y^2-2x-y

extreme points

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

Minimum (1, 0)

Solution steps

Find the critical points:

(1, 0)

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

D (x, y) = 3

Check the sign of at each critical point

Check critical point

(1, 0) :

Minimum

Minimum (1, 0)

What is the FUNCTION_MANY#extreme f(x,y)=x^2+xy+y^2-2x-y ?
The FUNCTION_MANY#extreme f(x,y)=x^2+xy+y^2-2x-y is Minimum(1,0)