What is the monotone f(x)=x^3-12x ?

The monotone f(x)=x^3-12x is Increasing:-infinity <x<-2,Decreasing:-2<x<2,Increasing:2<x<infinity

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monotone f(x)=x^3-12x

monotone intervals

f (x) = x^{3} - 12 x

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

Solution steps

f^{'} (x) = 3 x^{2} - 12

Find intervals:

Increasing

: - \infty < x < - 2,

Decreasing

: - 2 < x < 2,

Increasing

: 2 < x < \infty

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

What is the monotone f(x)=x^3-12x ?
The monotone f(x)=x^3-12x is Increasing:-infinity <x<-2,Decreasing:-2<x<2,Increasing:2<x<infinity