What is the critical f(x)=xy^2-2xy+3x^3-3x ?

The critical f(x)=xy^2-2xy+3x^3-3x is (0,3),(0,-1),(2/3 ,1),(-2/3 ,1)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

critical f(x)=xy^2-2xy+3x^3-3x

critical points

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

(0, 3), (0, - 1), (\frac{2}{3}, 1), (- \frac{2}{3}, 1)

Solution steps

x y^{2} - 2 x y + 3 x^{3} - 3 x

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, 3), (0, - 1), (\frac{2}{3}, 1), (- \frac{2}{3}, 1)

What is the critical f(x)=xy^2-2xy+3x^3-3x ?
The critical f(x)=xy^2-2xy+3x^3-3x is (0,3),(0,-1),(2/3 ,1),(-2/3 ,1)