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

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

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