What is the monotone x^4-8x^3 ?

The monotone x^4-8x^3 is Decreasing:-infinity <x<0,Decreasing:0<x<6,Increasing:6<x<infinity

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monotone x^4-8x^3

monotone intervals

x^{4} - 8 x^{3}

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

Solution steps

f^{'} (x) = 4 x^{3} - 24 x^{2}

Find intervals:

Decreasing

: - \infty < x < 0,

Decreasing

: 0 < x < 6,

Increasing

: 6 < x < \infty

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

\frac{x ^{2} + 8 x - 9}{x ^{2} + 3 x - 4}

f (x) = \frac{7 - 14 x}{2 x - 3}

\frac{- 3 x}{x ^{2} + 1}

f (x) = \frac{1 - 5 x}{3 x + 2}

f (x) = 13 x - 2 y = 0

What is the monotone x^4-8x^3 ?
The monotone x^4-8x^3 is Decreasing:-infinity <x<0,Decreasing:0<x<6,Increasing:6<x<infinity