en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

extreme x^3-3x^2+1

Solution

extreme points

x^{3} - 3 x^{2} + 1

Solution

Maximum (0, 1), Minimum (2, - 3)

Solution steps

f^{'} (x) = 3 x^{2} - 6 x

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < 2,

Increasing

: 2 < x < \infty

Plug

x = 0

into

x^{3} - 3 x^{2} + 1 : 1

Maximum (0, 1)

Plug

x = 2

into

x^{3} - 3 x^{2} + 1 : - 3

Minimum (2, - 3)

Maximum (0, 1), Minimum (2, - 3)

Graph

Popular Examples

extreme f(x)= 8/135 x^3-1/20 x^2-7/16 x

extreme f(x)=-x^2(x+1)^2(x-1)^2

solvefor V,V=pir2h

extreme f(x)=-1000x^3-1000x^2+8000x+1000

extreme 1/x+ln(x)

Frequently Asked Questions (FAQ)

What is the extreme x^3-3x^2+1 ?
The extreme x^3-3x^2+1 is Maximum(0,1),Minimum(2,-3)