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

The monotone f(x)=3x^{2/3}-x is Decreasing:-infinity <x< 1/8 ,Increasing: 1/8 <x<infinity

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

monotone

Decreasing : - \infty < x < \frac{1}{8}, Increasing : \frac{1}{8} < x < \infty

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < \frac{1}{8},

Increasing

: \frac{1}{8} < x < \infty

Decreasing : - \infty < x < \frac{1}{8}, Increasing : \frac{1}{8} < x < \infty

What is the monotone f(x)=3x^{2/3}-x ?
The monotone f(x)=3x^{2/3}-x is Decreasing:-infinity <x< 1/8 ,Increasing: 1/8 <x<infinity