en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

extreme 3x-x^3

Solution

extreme points

3 x - x^{3}

Solution

Minimum (- 1, - 2), Maximum (1, 2)

Solution steps

f^{'} (x) = 3 - 3 x^{2}

Find intervals:

Decreasing

: - \infty < x < - 1,

Increasing

: - 1 < x < 1,

Decreasing

: 1 < x < \infty

Plug

x = - 1

into

3 x - x^{3} : - 2

Minimum (- 1, - 2)

Plug

x = 1

into

3 x - x^{3} : 2

Maximum (1, 2)

Minimum (- 1, - 2), Maximum (1, 2)

Graph

Popular Examples

extreme f(x,y)=sqrt(y)ln(-y+x)

extreme f(x)=-2x^3-9x^2+24x+40

extreme f(x,y)=x^2y+y^3-48y

extreme f(x,y)=(5x+3y+10)(4y+2)

extreme f(x)=x^3-9x

Frequently Asked Questions (FAQ)

What is the extreme 3x-x^3 ?
The extreme 3x-x^3 is Minimum(-1,-2),Maximum(1,2)