What is the monotone f(x)=-x^4-8x^3 ?

The monotone f(x)=-x^4-8x^3 is Increasing:-infinity <x<-6,Decreasing:-6<x<0,Decreasing:0<x<infinity

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monotone f(x)=-x^4-8x^3

monotone

Increasing : - \infty < x < - 6, Decreasing : - 6 < x < 0, Decreasing : 0 < x < \infty

Solution steps

f^{'} (x) = - 4 x^{3} - 24 x^{2}

Find intervals:

Increasing

: - \infty < x < - 6,

Decreasing

: - 6 < x < 0,

Decreasing

: 0 < x < \infty

Increasing : - \infty < x < - 6, Decreasing : - 6 < x < 0, Decreasing : 0 < x < \infty

What is the monotone f(x)=-x^4-8x^3 ?
The monotone f(x)=-x^4-8x^3 is Increasing:-infinity <x<-6,Decreasing:-6<x<0,Decreasing:0<x<infinity