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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

critical points

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

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

Solution steps

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

Find where

\nabla f (x, y)

is equal to zero or undefined

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

f (x) = 8 x^{2} + 14 x y + 3 y^{2} + 10 x - 4

f (x) = 2 x^{3} + 6 x^{2} - 5

f (x) = sin (x) + cos (x), 0 \leq x \leq 2 π

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

f (x, y) = x^{4} + y^{4} - 2 x^{2} - 32 y

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