What is the extreme f(x,y)=2xy ?

The extreme f(x,y)=2xy is Saddle(0,0)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme f(x,y)=2xy

extreme points

f (x, y) = 2 x y

Saddle (0, 0)

Solution steps

Find the critical points:

(0, 0)

\frac{\partial ^{2} f}{\partial x ^{2}} = 0

D (x, y) = - 4

Check the sign of at each critical point

Check critical point

(0, 0) :

Saddle

Saddle (0, 0)

f (x) = x^{2} (x - 1) (x + 2)

f (x) = 2 x - x

f (x) = 3 x^{2} - 12 x + 15

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

f (x) = x^{4} - 6 x^{3}