en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

critical (x^2+x+1)/x

Solution

critical points

\frac{x ^{2} + x + 1}{x}

Solution

x = - 1, x = 1

Solution steps

\frac{x ^{2} + x + 1}{x}

Find where

f^{'} (x)

is equal to zero or undefined

x = - 1, x = 1, x = 0

Identify critical points not in

f (x)

domain

Domain of

\frac{x ^{2} + x + 1}{x} : x < 0 or x > 0

\frac{x ^{2} + x + 1}{x}

is not defined at

x = 0

, therefore:

x = - 1, x = 1

Graph

Popular Examples

critical f(x)=x^4+16x^3+54x^2+2

cr i t i c a l f (x) = x^{4} + 16 x^{3} + 54 x^{2} + 2

slope of x-2y=-6

s l o p e x - 2 y = - 6

domain of (\sqrt[6]{x})^5

d o main (6 x)^{5}

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

cr i t i c a l f (x) = 2 x^{2} + 4 x - 3

range of f(x)=(2x)/(x^2+4)

r an g e f (x) = \frac{2 x}{x ^{2} + 4}

Frequently Asked Questions (FAQ)

What is the critical (x^2+x+1)/x ?
The critical (x^2+x+1)/x is x=-1,x=1