What is the monotone 9x^{(2)}-x^3-3 ?

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

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monotone 9x^{(2)}-x^3-3

monotone intervals

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

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

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < 6,

Decreasing

: 6 < x < \infty

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

f (x) = \frac{( 4 x - 1 )}{( 2 x + 3 )}

(x - 4)^{3}

60 x^{2} - 20 x^{3}

f (x) = \frac{1 + 2 x}{x}

4 - z^{2}

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