en

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-x+y^3-y

Solution

critical points

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

Solution

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

Solution steps

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

Find where

\nabla f (x, y)

is equal to zero or undefined

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

Popular Examples

critical f(x)=x^3-12x^2+36x-13 critical points

f (x) = x^{3} - 12 x^{2} + 36 x - 13

critical f(x,y)=7x^2+10xy^2-7y^2x+1 critical points

f (x, y) = 7 x^{2} + 10 x y^{2} - 7 y^{2} x + 1

critical f(x)=(x+3)^2-4(y-1)^2 critical points

f (x) = (x + 3)^{2} - 4 (y - 1)^{2}

critical ((24(3x^2+4)))/((x^2-4)^3)critical points

\frac{( 24 ( 3 x ^{2} + 4 ) )}{( x ^{2} - 4 ) ^{3}}

critical-1000x^3-1000x^2+8000x+1000 critical points

- 1000 x^{3} - 1000 x^{2} + 8000 x + 1000

Frequently Asked Questions (FAQ)

What is the critical f(x)=x^3-x+y^3-y ?
The critical f(x)=x^3-x+y^3-y is