What is the monotone 1-5*x*e^{-x} ?

The monotone 1-5*x*e^{-x} is Decreasing:-infinity <x<1,Increasing:1<x<infinity

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monotone 1-5xe^{-x}

monotone

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

Solution steps

f^{'} (x) = 5 e^{- x} (x - 1)

Find intervals:

Decreasing

: - \infty < x < 1,

Increasing

: 1 < x < \infty

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

What is the monotone 1-5*x*e^{-x} ?
The monotone 1-5*x*e^{-x} is Decreasing:-infinity <x<1,Increasing:1<x<infinity