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

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

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

extreme points

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

Minimum (- 1, - 1)

Solution steps

Find the critical points:

(- 1, - 1)

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

D (x, y) = 3

Check the sign of at each critical point

Check critical point

(- 1, - 1) :

Minimum

Minimum (- 1, - 1)

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