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

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

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monotone 2x^3+6x^2+3

monotone intervals

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

Increasing : - \infty < x < - 2, Decreasing : - 2 < x < 0, Increasing : 0 < x < \infty

Solution steps

f^{'} (x) = 6 x^{2} + 12 x

Find intervals:

Increasing

: - \infty < x < - 2,

Decreasing

: - 2 < x < 0,

Increasing

: 0 < x < \infty

Increasing : - \infty < x < - 2, Decreasing : - 2 < x < 0, Increasing : 0 < x < \infty

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

f (x) = \frac{x ^{2} - 25}{- 2 x ^{2} + 9 x + 5}

f (x) = \frac{12}{x} + 7

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

f (x) = 5 x^{2} + 8 x - 8

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