en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

critical (x^2+1)/x

Solution

critical points

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

Solution

x = - 1, x = 1

Solution steps

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

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

is not defined at

x = 0

, therefore:

x = - 1, x = 1

Popular Examples

domain of f(x)=5csc(1/3 x)-1 domain

f (x) = 5 csc (\frac{1}{3} x) - 1

critical f(x)=x^3-65x^2+1000x critical points

f (x) = x^{3} - 65 x^{2} + 1000 x

inverse of x/(x-6)inverse

\frac{x}{x - 6}

range of f(x)=8x^2+3 range

f (x) = 8 x^{2} + 3

periodicity of f(x)=-1+3cos(2x)periodicity

f (x) = - 1 + 3 cos (2 x)

Frequently Asked Questions (FAQ)

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