What is the monotone x^3+6x^2 ?

The monotone x^3+6x^2 is Increasing:-infinity <x<-4,Decreasing:-4<x<0,Increasing:0<x<infinity

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monotone x^3+6x^2

monotone intervals

x^{3} + 6 x^{2}

Increasing : - \infty < x < - 4, Decreasing : - 4 < x < 0, Increasing : 0 < x < \infty

Solution steps

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

Find intervals:

Increasing

: - \infty < x < - 4,

Decreasing

: - 4 < x < 0,

Increasing

: 0 < x < \infty

Increasing : - \infty < x < - 4, Decreasing : - 4 < x < 0, Increasing : 0 < x < \infty

What is the monotone x^3+6x^2 ?
The monotone x^3+6x^2 is Increasing:-infinity <x<-4,Decreasing:-4<x<0,Increasing:0<x<infinity