What is the monotone xe^x ?

The monotone xe^x is Decreasing:-infinity <x<-1,Increasing:-1<x<infinity

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monotone xe^x

monotone

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

Solution steps

f^{'} (x) = e^{x} + e^{x} x

Find intervals:

Decreasing

: - \infty < x < - 1,

Increasing

: - 1 < x < \infty

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

What is the monotone xe^x ?
The monotone xe^x is Decreasing:-infinity <x<-1,Increasing:-1<x<infinity