What is the monotone f(x)=xe^{-x} ?

The monotone f(x)=xe^{-x} is Increasing:-infinity <x<1,Decreasing:1<x<infinity

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monotone f(x)=xe^{-x}

monotone intervals

f (x) = x e^{- x}

Increasing : - \infty < x < 1, Decreasing : 1 < x < \infty

Solution steps

f^{'} (x) = e^{- x} (1 - x)

Find intervals:

Increasing

: - \infty < x < 1,

Decreasing

: 1 < x < \infty

Increasing : - \infty < x < 1, Decreasing : 1 < x < \infty

\frac{x}{8 x + 4}

f (x) = 5 x^{3} - 1

- (x + 4) (x - 4) + x + 1

f (x) = (x + 2)^{5}

(1, 0), (9, 15)

What is the monotone f(x)=xe^{-x} ?
The monotone f(x)=xe^{-x} is Increasing:-infinity <x<1,Decreasing:1<x<infinity