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

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

monotone intervals

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

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

(- 1.6), (- 4.1)

3 x + 15 y = - 135

12 x - 3 y - 12 = 0

\frac{x ^{2} + 2}{x + 3}

f (x) = (x - 5)

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