What is the monotone x^{2/3}(x-5) ?

The monotone x^{2/3}(x-5) is Increasing:-infinity <x<0,Decreasing:0<x<2,Increasing:2<x<infinity

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monotone x^{2/3}(x-5)

monotone intervals

x^{\frac{2}{3}} (x - 5)

Increasing : - \infty < x < 0, Decreasing : 0 < x < 2, Increasing : 2 < x < \infty

Solution steps

f^{'} (x) = \frac{5 ( x - 2 )}{3 x ^{\frac{1}{3}}}

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < 2,

Increasing

: 2 < x < \infty

Increasing : - \infty < x < 0, Decreasing : 0 < x < 2, Increasing : 2 < x < \infty

\frac{x + 1}{x ^{2} - 1}

6

y = \frac{- 2 x - 1}{3}

\frac{9 x - 21}{15 x + 35}

f (x) = - x^{2} - 8 x - 8

What is the monotone x^{2/3}(x-5) ?
The monotone x^{2/3}(x-5) is Increasing:-infinity <x<0,Decreasing:0<x<2,Increasing:2<x<infinity