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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

critical f(x)=3x^3+xy^2-2xy+1

critical points

f (x) = 3 x^{3} + x y^{2} - 2 x y + 1

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

Solution steps

3 x^{3} + x y^{2} - 2 x y + 1

Find where

\nabla f (x, y)

is equal to zero or undefined

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

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