en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

extreme x^3-3x^2+3x+1

Solution

extreme points

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

Solution

Saddle (1, 2)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < 1,

Increasing

: 1 < x < \infty

Plug

x = 1

into

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

Saddle (1, 2)

Popular Examples

extreme 100+1/2 x+(1800)/x extreme points

100 + \frac{1}{2} x + \frac{1800}{x}

extreme-cos(x)extreme points

- cos (x)

extreme f(x)=3e^x-e^{3x}extreme points

f (x) = 3 e^{x} - e^{3 x}

extreme f(x,y)=x^3+6xy+2y^2+6x extreme points

f (x, y) = x^{3} + 6 x y + 2 y^{2} + 6 x

extreme f(x,y)=5x^2+3xy+y^2 extreme points

f (x, y) = 5 x^{2} + 3 x y + y^{2}

Frequently Asked Questions (FAQ)

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