What is the monotone 3x-x^3 ?

The monotone 3x-x^3 is Decreasing:-infinity <x<-1,Increasing:-1<x<1,Decreasing:1<x<infinity

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monotone 3x-x^3

monotone intervals

3 x - x^{3}

Decreasing : - \infty < x < - 1, Increasing : - 1 < x < 1, Decreasing : 1 < x < \infty

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < - 1,

Increasing

: - 1 < x < 1,

Decreasing

: 1 < x < \infty

Decreasing : - \infty < x < - 1, Increasing : - 1 < x < 1, Decreasing : 1 < x < \infty

What is the monotone 3x-x^3 ?
The monotone 3x-x^3 is Decreasing:-infinity <x<-1,Increasing:-1<x<1,Decreasing:1<x<infinity