What is the monotone f(x)=x^3-27x ?

The monotone f(x)=x^3-27x is Increasing:-infinity <x<-3,Decreasing:-3<x<3,Increasing:3<x<infinity

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monotone f(x)=x^3-27x

monotone intervals

f (x) = x^{3} - 27 x

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

Solution steps

f^{'} (x) = 3 x^{2} - 27

Find intervals:

Increasing

: - \infty < x < - 3,

Decreasing

: - 3 < x < 3,

Increasing

: 3 < x < \infty

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

7 x + 5

6 x + 2

f (x) = - x - 2

- ∣ x ∣ - 3

\frac{x ^{2} - 4 x + 3}{- x + 3}

What is the monotone f(x)=x^3-27x ?
The monotone f(x)=x^3-27x is Increasing:-infinity <x<-3,Decreasing:-3<x<3,Increasing:3<x<infinity