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

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

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

monotone intervals

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

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

Solution steps

f^{'} (t) = \frac{4 ( - t ^{2} + 4 )}{( t ^{2} + 4 ) ^{2}}

Find intervals:

Decreasing

: - \infty < t < - 2,

Increasing

: - 2 < t < 2,

Decreasing

: 2 < t < \infty

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

(x - 7)^{2}

f (x) = 7 x + 4

f (x) = 3 x^{4} - 4 x^{3} - 5 x^{2}

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

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

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