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

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

critical points

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

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

Solution steps

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

Find where

\nabla f (x, y)

is equal to zero or undefined

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

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

f (x) = 2 x^{3} - 15 x^{2} - 36 x

f (x) = - 2 x^{2} - 24 x - 71

f (x) = 2 x^{2} + 4 x

f (x y) = y^{3} + x^{2} - 6 x y + 3 x + 6 y - 7

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