What is the critical f(x,y)=x^4+y^4+2x^2y^2+8a^2x^2-8a^2y^2 ?

The critical f(x,y)=x^4+y^4+2x^2y^2+8a^2x^2-8a^2y^2 is (0,0),(0,-2a),(0,2a),(0,0),(0,0)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

critical f(x,y)=x^4+y^4+2x^2y^2+8a^2x^2-8a^2y^2

critical points

f (x, y) = x^{4} + y^{4} + 2 x^{2} y^{2} + 8 a^{2} x^{2} - 8 a^{2} y^{2}

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

Solution steps

x^{4} + y^{4} + 2 x^{2} y^{2} + 8 a^{2} x^{2} - 8 a^{2} y^{2}

Find where

\nabla f (x, y)

is equal to zero or undefined

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

What is the critical f(x,y)=x^4+y^4+2x^2y^2+8a^2x^2-8a^2y^2 ?
The critical f(x,y)=x^4+y^4+2x^2y^2+8a^2x^2-8a^2y^2 is (0,0),(0,-2a),(0,2a),(0,0),(0,0)