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

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

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monotone (x-2)(x-6)^3+6

monotone intervals

(x - 2) (x - 6)^{3} + 6

Decreasing : - \infty < x < 3, Increasing : 3 < x < 6, Increasing : 6 < x < \infty

Solution steps

f^{'} (x) = 4 x^{3} - 60 x^{2} + 288 x - 432

Find intervals:

Decreasing

: - \infty < x < 3,

Increasing

: 3 < x < 6,

Increasing

: 6 < x < \infty

Decreasing : - \infty < x < 3, Increasing : 3 < x < 6, Increasing : 6 < x < \infty

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