What is the monotone (3x)/(x^2-4) ?

The monotone (3x)/(x^2-4) is Decreasing:-infinity <x<-2,Decreasing:-2<x<2,Decreasing:2<x<infinity

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monotone (3x)/(x^2-4)

monotone intervals

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

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

Solution steps

f^{'} (x) = \frac{3 ( - x ^{2} - 4 )}{( x ^{2} - 4 ) ^{2}}

Find intervals:

Decreasing

: - \infty < x < - 2,

Decreasing

: - 2 < x < 2,

Decreasing

: 2 < x < \infty

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

f (x) = \frac{- 1}{2 3 - x}

f (x) = 2 sin (x)

f (x) = 8 x^{3}

f (x) = \frac{- 3 x + 7}{7 x - 2}

lo g_{2 x + 3} (x^{2} + 3 x - 4)

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