en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

inflection f(x)=(2x)/(x^2-1)

Solution

inflection points

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

Solution

(0, 0)

Solution steps

f^{''} (x) = - \frac{4 x ( - x ^{2} - 3 )}{( x ^{2} - 1 ) ^{3}}

Find intervals:

Concave Downward

: - \infty < x < - 1,

Concave Upward

: - 1 < x < 0,

Concave Downward

: 0 < x < 1,

Concave Upward

: 1 < x < \infty

Plug

x = 0

into

\frac{2 x}{x ^{2} - 1} : 0

(0, 0)

Popular Examples

domain of f(x)=(sqrt(-5-x))/(5+x)domain

f (x) = \frac{- 5 - x}{5 + x}

domain of-2cos(3x)domain

- 2 cos (3 x)

inverse of f(x)=-1/(4x)inverse

f (x) = - \frac{1}{4 x}

critical f(x)=x+1/(x^2)critical points

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

asymptotes of f(x)=(e^{2x}) 1/(1-x)asymptotes

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

Frequently Asked Questions (FAQ)

What is the inflection f(x)=(2x)/(x^2-1) ?
The inflection f(x)=(2x)/(x^2-1) is (0,0)