What is the monotone 2x^3-3x^2-12x+7 ?

The monotone 2x^3-3x^2-12x+7 is Increasing:-infinity <x<-1,Decreasing:-1<x<2,Increasing:2<x<infinity

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monotone 2x^3-3x^2-12x+7

monotone intervals

2 x^{3} - 3 x^{2} - 12 x + 7

Increasing : - \infty < x < - 1, Decreasing : - 1 < x < 2, Increasing : 2 < x < \infty

Solution steps

f^{'} (x) = 6 x^{2} - 6 x - 12

Find intervals:

Increasing

: - \infty < x < - 1,

Decreasing

: - 1 < x < 2,

Increasing

: 2 < x < \infty

Increasing : - \infty < x < - 1, Decreasing : - 1 < x < 2, Increasing : 2 < x < \infty

f (x) = 12 x (x - 4)

f (x) = \frac{1}{2} x + 3

f (x) = x^{\frac{1}{5}} + 7

\frac{x + 1}{x - 1}

What is the monotone 2x^3-3x^2-12x+7 ?
The monotone 2x^3-3x^2-12x+7 is Increasing:-infinity <x<-1,Decreasing:-1<x<2,Increasing:2<x<infinity