What is the critical f(x)= x/((x^2+1)^2) ?

The critical f(x)= x/((x^2+1)^2) is x=-1/(sqrt(3)),x= 1/(sqrt(3))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

critical points

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

x = - \frac{1}{3}, x = \frac{1}{3}

Solution steps

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

Find where

f^{'} (x)

is equal to zero or undefined

x = - \frac{1}{3}, x = \frac{1}{3}

Identify critical points not in

f (x)

domain

Domain of

\frac{x}{( x ^{2} + 1 ) ^{2}} : - \infty < x < \infty

All critical points are in domain

x = - \frac{1}{3}, x = \frac{1}{3}

f (x) = x^{2} - 2 x^{3}

f (x) = - x^{2} + 10 x - 21

f (x) = \frac{3 - 3 x}{6 x - 1}

(\frac{1}{3}, - \frac{5}{4}), (\frac{3}{4}, - 4)

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

What is the critical f(x)= x/((x^2+1)^2) ?
The critical f(x)= x/((x^2+1)^2) is x=-1/(sqrt(3)),x= 1/(sqrt(3))