What is the monotone f(x)= 5/3 x^{(2/3)}-1 ?

The monotone f(x)= 5/3 x^{(2/3)}-1 is Decreasing:-infinity <x<0,Increasing:0<x<infinity

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monotone f(x)= 5/3 x^{(2/3)}-1

monotone intervals

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

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

Solution steps

f^{'} (x) = \frac{10}{9 x ^{\frac{1}{3}}}

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < \infty

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

What is the monotone f(x)= 5/3 x^{(2/3)}-1 ?
The monotone f(x)= 5/3 x^{(2/3)}-1 is Decreasing:-infinity <x<0,Increasing:0<x<infinity