What is the critical f(x,y)=x^4+y^4-2x^2-2y^2+4xy ?

The critical f(x,y)=x^4+y^4-2x^2-2y^2+4xy is (0,0),(-sqrt(2),sqrt(2)),(sqrt(2),-sqrt(2))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

critical f(x,y)=x^4+y^4-2x^2-2y^2+4xy

critical points

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

(0, 0), (- 2, 2), (2, - 2)

Solution steps

x^{4} + y^{4} - 2 x^{2} - 2 y^{2} + 4 x y

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, 0), (- 2, 2), (2, - 2)

f (x) = x^{2} e^{17 x}

f (x) = x^{\frac{1}{2}} (x - 4)

f (x) = \frac{x ^{2} + 5 x + 4}{x ^{2}}

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

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

What is the critical f(x,y)=x^4+y^4-2x^2-2y^2+4xy ?
The critical f(x,y)=x^4+y^4-2x^2-2y^2+4xy is (0,0),(-sqrt(2),sqrt(2)),(sqrt(2),-sqrt(2))