What is the monotone (x^3)/2-6x ?

The monotone (x^3)/2-6x is Increasing:-infinity <x<-2,Decreasing:-2<x<2,Increasing:2<x<infinity

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monotone (x^3)/2-6x

monotone intervals

\frac{x ^{3}}{2} - 6 x

Increasing : - \infty < x < - 2, Decreasing : - 2 < x < 2, Increasing : 2 < x < \infty

Solution steps

f^{'} (x) = \frac{3 x ^{2}}{2} - 6

Find intervals:

Increasing

: - \infty < x < - 2,

Decreasing

: - 2 < x < 2,

Increasing

: 2 < x < \infty

Increasing : - \infty < x < - 2, Decreasing : - 2 < x < 2, Increasing : 2 < x < \infty

f (x) = \frac{1}{4}

y = - \frac{1}{2} x + 8, (- 2, 5)

\frac{2 x ^{2} - 3 x - 20}{x - 5}

6 x - y = - 12, (0, 0)

(- 2, - 1), (- 2, 4)

What is the monotone (x^3)/2-6x ?
The monotone (x^3)/2-6x is Increasing:-infinity <x<-2,Decreasing:-2<x<2,Increasing:2<x<infinity