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

The critical f(x,y)=2ax^4+y^2-ax^2-2y is (0,1),(-1/2 ,1),(1/2 ,1)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

critical points

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

(0, 1), (- \frac{1}{2}, 1), (\frac{1}{2}, 1)

Solution steps

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

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, 1), (- \frac{1}{2}, 1), (\frac{1}{2}, 1)

What is the critical f(x,y)=2ax^4+y^2-ax^2-2y ?
The critical f(x,y)=2ax^4+y^2-ax^2-2y is (0,1),(-1/2 ,1),(1/2 ,1)