What is the extreme f(x,y)=x^2-10y^2 ?

The extreme f(x,y)=x^2-10y^2 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)=x^2-10y^2

extreme points

f (x, y) = x^{2} - 10 y^{2}

Saddle (0, 0)

Solution steps

Find the critical points:

(0, 0)

\frac{\partial ^{2} f}{\partial x ^{2}} = - 20

D (x, y) = - 40

Check the sign of at each critical point

Check critical point

(0, 0) :

Saddle

Saddle (0, 0)

6 x - 6 x

f (x, y) = 11 x^{3} - 33 x y + 11 y^{3}

f (x) = x^{3} + y^{2} - 3 x^{2} - 3 y^{2} - 9 x

f (x, y) = 5 + 4 x - 2 x^{2} + 3 y - y^{2}

f (x, y) = x^{3} + y^{3} - 243 x - 27 y - 2

What is the extreme f(x,y)=x^2-10y^2 ?
The extreme f(x,y)=x^2-10y^2 is Saddle(0,0)