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

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

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monotone x/(x^2-4)

monotone intervals

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

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

Solution steps

f^{'} (x) = \frac{- 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) = 6 tan (0.2 x)

\frac{3 x}{7 x - 1}

4 sin^{2} (x)

f (x) = 9 x^{2} - 2

3 x + 5 y = 15, (3, 2)

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