What is the monotone \sqrt[3]{x+2} ?

The monotone \sqrt[3]{x+2} is Increasing:-infinity <x<-2,Increasing:-2<x<infinity

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monotone \sqrt[3]{x+2}

monotone intervals

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

Solution steps

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

Find intervals:

Increasing

: - \infty < x < - 2,

Increasing

: - 2 < x < \infty

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

What is the monotone \sqrt[3]{x+2} ?
The monotone \sqrt[3]{x+2} is Increasing:-infinity <x<-2,Increasing:-2<x<infinity