What is the extreme f(x,y)=3x^2-5y^2 ?

The extreme f(x,y)=3x^2-5y^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)=3x^2-5y^2

extreme points

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

Saddle (0, 0)

Solution steps

Find the critical points:

(0, 0)

\frac{\partial ^{2} f}{\partial x ^{2}} = - 10

D (x, y) = - 60

Check the sign of at each critical point

Check critical point

(0, 0) :

Saddle

Saddle (0, 0)

f (x) = \frac{4}{( x - 3 ) ^{2}}

f (x) = 11 + 7 x + x^{2}

f (x) = \frac{3 x}{x ^{2} + 7}, 0 \leq x \leq 4

y = x^{2} + 2 x - 1

f (x) = x^{4} + 16 x^{3} - 6

What is the extreme f(x,y)=3x^2-5y^2 ?
The extreme f(x,y)=3x^2-5y^2 is Saddle(0,0)