What is the monotone-x^3+6x^2 ?

The monotone-x^3+6x^2 is Decreasing:-infinity <x<0,Increasing:0<x<4,Decreasing:4<x<infinity

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monotone-x^3+6x^2

monotone intervals

- x^{3} + 6 x^{2}

Decreasing : - \infty < x < 0, Increasing : 0 < x < 4, Decreasing : 4 < x < \infty

Solution steps

f^{'} (x) = - 3 x^{2} + 12 x

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < 4,

Decreasing

: 4 < x < \infty

Decreasing : - \infty < x < 0, Increasing : 0 < x < 4, Decreasing : 4 < x < \infty

m = \frac{7}{3}, (3, 7)

f (x) = \frac{x}{8}

x^{3}

y = 0.6 \frac{1}{4 x}

x + 3 y = 6

What is the monotone-x^3+6x^2 ?
The monotone-x^3+6x^2 is Decreasing:-infinity <x<0,Increasing:0<x<4,Decreasing:4<x<infinity