What is the monotone f(x)=x^3-6x^2+12x-5 ?

The monotone f(x)=x^3-6x^2+12x-5 is Increasing:-infinity <x<2,Increasing:2<x<infinity

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monotone f(x)=x^3-6x^2+12x-5

monotone intervals

f (x) = x^{3} - 6 x^{2} + 12 x - 5

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

Solution steps

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

Find intervals:

Increasing

: - \infty < x < 2,

Increasing

: 2 < x < \infty

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

f (x) = 4 x

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

f (x) = 2 x + 1

f (x) = 5 x^{3} - 15 x

f (x) = 9 x + 9

What is the monotone f(x)=x^3-6x^2+12x-5 ?
The monotone f(x)=x^3-6x^2+12x-5 is Increasing:-infinity <x<2,Increasing:2<x<infinity