What is the critical f(x)=x^3+3x^2-9x+y^3-12y ?

The critical f(x)=x^3+3x^2-9x+y^3-12y is (1,2),(1,-2),(-3,2),(-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)=x^3+3x^2-9x+y^3-12y

critical points

f (x) = x^{3} + 3 x^{2} - 9 x + y^{3} - 12 y

(1, 2), (1, - 2), (- 3, 2), (- 3, - 2)

Solution steps

x^{3} + 3 x^{2} - 9 x + y^{3} - 12 y

Find where

\nabla f (x, y)

is equal to zero or undefined

(1, 2), (1, - 2), (- 3, 2), (- 3, - 2)

6 x^{2} + 6 x - 12

f (x) = x^{3} - 3 x + 9

(x + 1) e^{- x}

f (x) = x^{\frac{1}{3}} (x - 8)

f (x) = x^{2} - x y + y^{2} + 8

What is the critical f(x)=x^3+3x^2-9x+y^3-12y ?
The critical f(x)=x^3+3x^2-9x+y^3-12y is (1,2),(1,-2),(-3,2),(-3,-2)