What is the monotone f(x)=x^4-12x^3 ?

The monotone f(x)=x^4-12x^3 is Decreasing:-infinity <x<0,Decreasing:0<x<9,Increasing:9<x<infinity

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monotone f(x)=x^4-12x^3

monotone intervals

f (x) = x^{4} - 12 x^{3}

Decreasing : - \infty < x < 0, Decreasing : 0 < x < 9, Increasing : 9 < x < \infty

Solution steps

f^{'} (x) = 4 x^{3} - 36 x^{2}

Find intervals:

Decreasing

: - \infty < x < 0,

Decreasing

: 0 < x < 9,

Increasing

: 9 < x < \infty

Decreasing : - \infty < x < 0, Decreasing : 0 < x < 9, Increasing : 9 < x < \infty

(1, 3), (- 8, - 6)

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

\frac{( 5 x + 4 ) ( 4 x - 2 )}{( x ^{2} - 36 ) ^{2}}

2 x + \frac{2}{3} y = 10

- \frac{3}{2 t ^{\frac{3}{2}}}

What is the monotone f(x)=x^4-12x^3 ?
The monotone f(x)=x^4-12x^3 is Decreasing:-infinity <x<0,Decreasing:0<x<9,Increasing:9<x<infinity