What is the critical f(x,y)=x^3+y^2-6xy+6x+3y ?

The critical f(x,y)=x^3+y^2-6xy+6x+3y is (5, 27/2),(1, 3/2)

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^2-6xy+6x+3y

critical points

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

(5, \frac{27}{2}), (1, \frac{3}{2})

Solution steps

x^{3} + y^{2} - 6 x y + 6 x + 3 y

Find where

\nabla f (x, y)

is equal to zero or undefined

(5, \frac{27}{2}), (1, \frac{3}{2})

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

f (x, y) = 2 x^{3} - 6 x^{2} + y^{3} + 15 y^{2}

f (x) = \frac{x ^{4}}{4} - x^{3} - 2 x^{2} + 3

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

(x^{2} - 1)^{2}

What is the critical f(x,y)=x^3+y^2-6xy+6x+3y ?
The critical f(x,y)=x^3+y^2-6xy+6x+3y is (5, 27/2),(1, 3/2)