What is the monotone f(x)=6-12x+6x^2-x^3 ?

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

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monotone f(x)=6-12x+6x^2-x^3

monotone intervals

f (x) = 6 - 12 x + 6 x^{2} - x^{3}

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

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < 2,

Decreasing

: 2 < x < \infty

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

g (x) = x + \frac{10}{8 - x}

(3.6) (11.13)

f (x) = x^{2} - 2 x - 24

f (x) = 7 - x^{2}, x \geq 0

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