What is the monotone x^3-3/2 x^2 ?

The monotone x^3-3/2 x^2 is Increasing:-infinity <x<0,Decreasing:0<x<1,Increasing:1<x<infinity

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monotone x^3-3/2 x^2

monotone intervals

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

Increasing : - \infty < x < 0, Decreasing : 0 < x < 1, Increasing : 1 < x < \infty

Solution steps

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

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < 1,

Increasing

: 1 < x < \infty

Increasing : - \infty < x < 0, Decreasing : 0 < x < 1, Increasing : 1 < x < \infty

f (x) = 100 - x^{2}

f (x) = 4^{x}

f (x) = ln (x - 2)

ln (e + \frac{1}{x})

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

What is the monotone x^3-3/2 x^2 ?
The monotone x^3-3/2 x^2 is Increasing:-infinity <x<0,Decreasing:0<x<1,Increasing:1<x<infinity