What is the critical f(x)=(2x)/((x+4)^3) ?

The critical f(x)=(2x)/((x+4)^3) is x=2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

critical points

f (x) = \frac{2 x}{( x + 4 ) ^{3}}

x = 2

Solution steps

\frac{2 x}{( x + 4 ) ^{3}}

Find where

f^{'} (x)

is equal to zero or undefined

x = 2, x = - 4

Identify critical points not in

f (x)

domain

Domain of

\frac{2 x}{( x + 4 ) ^{3}} : x < - 4 or x > - 4

\frac{2 x}{( x + 4 ) ^{3}}

is not defined at

x = - 4

, therefore:

x = 2

What is the critical f(x)=(2x)/((x+4)^3) ?
The critical f(x)=(2x)/((x+4)^3) is x=2