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

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

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monotone f(x)=x^4

monotone

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

Solution steps

f^{'} (x) = 4 x^{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)=x^4 ?
The monotone f(x)=x^4 is Decreasing:-infinity <x<0,Increasing:0<x<infinity