What is the monotone f(x)=x^3-12x+6 ?

The monotone f(x)=x^3-12x+6 is Increasing:-infinity <x<-2,Decreasing:-2<x<2,Increasing:2<x<infinity

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monotone f(x)=x^3-12x+6

monotone intervals

f (x) = x^{3} - 12 x + 6

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

Solution steps

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

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) = - 1 - \frac{1}{5} x

\frac{2}{x} - 3

f (x) = 6 x^{4} + 24 x^{3}

- 2 cos (4 x - \frac{π}{2})

f (x) = \frac{( y ^{(2)} - 1 )}{( y )}

What is the monotone f(x)=x^3-12x+6 ?
The monotone f(x)=x^3-12x+6 is Increasing:-infinity <x<-2,Decreasing:-2<x<2,Increasing:2<x<infinity