What is the critical f(x)= 4/3 x^{-2/3}(x-1) ?

The critical f(x)= 4/3 x^{-2/3}(x-1) 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)= 4/3 x^{-2/3}(x-1)

critical points

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

x = - 2

Solution steps

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

Find where

f^{'} (x)

is equal to zero or undefined

x = - 2, x = 0

Identify critical points not in

f (x)

domain

Domain of

\frac{4}{3} x^{- \frac{2}{3}} (x - 1) : x < 0 or x > 0

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

is not defined at

x = 0

, therefore:

x = - 2

What is the critical f(x)= 4/3 x^{-2/3}(x-1) ?
The critical f(x)= 4/3 x^{-2/3}(x-1) is x=-2