What is the monotone x/(x^2+1) ?

The monotone x/(x^2+1) is Decreasing:-infinity <x<-1,Increasing:-1<x<1,Decreasing:1<x<infinity

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

monotone x/(x^2+1)

monotone intervals

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

Decreasing : - \infty < x < - 1, Increasing : - 1 < x < 1, Decreasing : 1 < x < \infty

Solution steps

f^{'} (x) = \frac{- x ^{2} + 1}{( x ^{2} + 1 ) ^{2}}

Find intervals:

Decreasing

: - \infty < x < - 1,

Increasing

: - 1 < x < 1,

Decreasing

: 1 < x < \infty

Decreasing : - \infty < x < - 1, Increasing : - 1 < x < 1, Decreasing : 1 < x < \infty

f (x) = x^{2} + 4 x

f (x) = 4 x^{2} + 25 y^{2} = 100

f (x) = \frac{2 x + 3}{x - 1}

(x + 2) (x - 3) (x + 4)

(3, - 2), (- 1, - 1)

What is the monotone x/(x^2+1) ?
The monotone x/(x^2+1) is Decreasing:-infinity <x<-1,Increasing:-1<x<1,Decreasing:1<x<infinity