What is the critical f(x,y)=x^3-12xy^2+24y^2 ?

The critical f(x,y)=x^3-12xy^2+24y^2 is (0,0),(2,1),(2,-1)

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^3-12xy^2+24y^2

critical points

f (x, y) = x^{3} - 12 x y^{2} + 24 y^{2}

(0, 0), (2, 1), (2, - 1)

Solution steps

x^{3} - 12 x y^{2} + 24 y^{2}

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, 0), (2, 1), (2, - 1)

\frac{- 2 x ^{2} + 5 x - 1}{2 x - 1}

f (x, y) = 2 x^{3} + x y^{2} + 5 x^{2} y + 2 y^{2}

y = I n (2 x)

\frac{x ^{2} - 3}{x - 2}

f (x, y) = x y (1 - x - y)

What is the critical f(x,y)=x^3-12xy^2+24y^2 ?
The critical f(x,y)=x^3-12xy^2+24y^2 is (0,0),(2,1),(2,-1)