en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme f(y)=xy

Solution

extreme points

f (y) = x y

Solution

Saddle (0, 0)

Solution steps

Find the critical points:

(0, 0)

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

D (y, x) = - 1

Check the sign of at each critical point

Check critical point

(0, 0) :

Saddle

Saddle (0, 0)

Graph

Popular Examples

extreme f(x)=-x^2+120x-3200 extreme points

f (x) = - x^{2} + 120 x - 3200

extreme 2x^3-3x^2-36x+54 extreme points

2 x^{3} - 3 x^{2} - 36 x + 54

extreme 2x^2-xy+y^2+7x extreme points

2 x^{2} - x y + y^{2} + 7 x

extreme f(x,y)=x^3+2xy^2+(y^4)/x extreme points

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

extreme f(x)=x^4-242x^2-5 extreme points

f (x) = x^{4} - 242 x^{2} - 5

Frequently Asked Questions (FAQ)

What is the extreme f(y)=xy ?
The extreme f(y)=xy is Saddle(0,0)