What is the monotone f(x)=x^4-4x^3 ?

The monotone f(x)=x^4-4x^3 is Decreasing:-infinity <x<0,Decreasing:0<x<3,Increasing:3<x<infinity

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monotone f(x)=x^4-4x^3

monotone

Decreasing : - \infty < x < 0, Decreasing : 0 < x < 3, Increasing : 3 < x < \infty

Solution steps

f^{'} (x) = 4 x^{3} - 12 x^{2}

Find intervals:

Decreasing

: - \infty < x < 0,

Decreasing

: 0 < x < 3,

Increasing

: 3 < x < \infty

Decreasing : - \infty < x < 0, Decreasing : 0 < x < 3, Increasing : 3 < x < \infty

What is the monotone f(x)=x^4-4x^3 ?
The monotone f(x)=x^4-4x^3 is Decreasing:-infinity <x<0,Decreasing:0<x<3,Increasing:3<x<infinity