What is the monotone x^4e^{-x/2} ?

The monotone x^4e^{-x/2} is Decreasing:-infinity <x<0,Increasing:0<x<8,Decreasing:8<x<infinity

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monotone x^4e^{-x/2}

monotone intervals

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

Decreasing : - \infty < x < 0, Increasing : 0 < x < 8, Decreasing : 8 < x < \infty

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < 8,

Decreasing

: 8 < x < \infty

Decreasing : - \infty < x < 0, Increasing : 0 < x < 8, Decreasing : 8 < x < \infty

\frac{3}{x}

f (x) = 6 + 6 x

f (x) = \frac{1}{5 x + 6}

\frac{2 x - 1}{x + 1}

2 x - y = - 4

What is the monotone x^4e^{-x/2} ?
The monotone x^4e^{-x/2} is Decreasing:-infinity <x<0,Increasing:0<x<8,Decreasing:8<x<infinity