What is the monotone (4x)/(x^2+4) ?

The monotone (4x)/(x^2+4) is Decreasing:-infinity <x<-2,Increasing:-2<x<2,Decreasing:2<x<infinity

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monotone (4x)/(x^2+4)

monotone intervals

\frac{4 x}{x ^{2} + 4}

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

Solution steps

f^{'} (x) = \frac{4 ( - x ^{2} + 4 )}{( x ^{2} + 4 ) ^{2}}

Find intervals:

Decreasing

: - \infty < x < - 2,

Increasing

: - 2 < x < 2,

Decreasing

: 2 < x < \infty

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

f (x) = e^{3 x}

y = x^{4} - 31 x^{2} - 180

y = \frac{1}{2} x + 1

2 x + 3 y = 9

2^{x} - 3

What is the monotone (4x)/(x^2+4) ?
The monotone (4x)/(x^2+4) is Decreasing:-infinity <x<-2,Increasing:-2<x<2,Decreasing:2<x<infinity