en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

extreme x^3-6x^2+8

Solution

extreme points

x^{3} - 6 x^{2} + 8

Solution

Maximum (0, 8), Minimum (4, - 24)

Solution steps

f^{'} (x) = 3 x^{2} - 12 x

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < 4,

Increasing

: 4 < x < \infty

Plug

x = 0

into

x^{3} - 6 x^{2} + 8 : 8

Maximum (0, 8)

Plug

x = 4

into

x^{3} - 6 x^{2} + 8 : - 24

Minimum (4, - 24)

Maximum (0, 8), Minimum (4, - 24)

Graph

Popular Examples

extreme f(x)=(x-5)/(x^2-6x+9)

extreme f(x)=xsqrt(x^2+4)

extreme f(x,y)=sqrt(4+2x-4y-x^2-y^2)

extreme f(x)=x^3(x+4)

extreme f(x,y)=x^3+y^3-27xy

Frequently Asked Questions (FAQ)

What is the extreme x^3-6x^2+8 ?
The extreme x^3-6x^2+8 is Maximum(0,8),Minimum(4,-24)