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The function f defined by f(x)=(x+2)e^(-...

The function `f` defined by `f(x)=(x+2)e^(-x)` is

A

decreasing for all x

B

Decreasing in `(-infty,1)` and increasing in `(-1,infty)`

C

Increasing for all x

D

Decreasing in `(-1,infty)` and increasing in `(-infty,-1)`

Text Solution

Verified by Experts

The correct Answer is:
D
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