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

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

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

monotone intervals

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

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

Solution steps

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

Find intervals:

Increasing

: - \infty < x < 6,

Increasing

: 6 < x < \infty

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

f (x) = \frac{( 2 x ^{2} - 2 )}{x ^{2} - 9}

(4, - 3), (- 5, 2)

f (x) = 20.4

f (x) = x^{3} + 12 x^{2} - 27 x + 11

\frac{x}{x}

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