What is the monotone 2x^3-4x^2 ?

The monotone 2x^3-4x^2 is Increasing:-infinity <x<0,Decreasing:0<x< 4/3 ,Increasing: 4/3 <x<infinity

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monotone 2x^3-4x^2

monotone intervals

2 x^{3} - 4 x^{2}

Increasing : - \infty < x < 0, Decreasing : 0 < x < \frac{4}{3}, Increasing : \frac{4}{3} < x < \infty

Solution steps

f^{'} (x) = 6 x^{2} - 8 x

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < \frac{4}{3},

Increasing

: \frac{4}{3} < x < \infty

Increasing : - \infty < x < 0, Decreasing : 0 < x < \frac{4}{3}, Increasing : \frac{4}{3} < x < \infty

f (x) = 20 - 5 x

f (x) = - 5 x

f (x) = 6 x + 5

f (x) = 1 - sin^{2} (x)

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

What is the monotone 2x^3-4x^2 ?
The monotone 2x^3-4x^2 is Increasing:-infinity <x<0,Decreasing:0<x< 4/3 ,Increasing: 4/3 <x<infinity