What is the monotone f(x)=x^3-9x^2 ?

The monotone f(x)=x^3-9x^2 is Increasing:-infinity <x<0,Decreasing:0<x<6,Increasing:6<x<infinity

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monotone f(x)=x^3-9x^2

monotone intervals

f (x) = x^{3} - 9 x^{2}

Increasing : - \infty < x < 0, Decreasing : 0 < x < 6, Increasing : 6 < x < \infty

Solution steps

f^{'} (x) = 3 x^{2} - 18 x

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < 6,

Increasing

: 6 < x < \infty

Increasing : - \infty < x < 0, Decreasing : 0 < x < 6, Increasing : 6 < x < \infty

2 x - y = 6

16 - x^{2} - x + 2

y = 3 x - 4

x + 2 y = 14

f (x) = \frac{5 x}{x ^{2} + 16}

What is the monotone f(x)=x^3-9x^2 ?
The monotone f(x)=x^3-9x^2 is Increasing:-infinity <x<0,Decreasing:0<x<6,Increasing:6<x<infinity