What is the monotone (2-x)e^{-x}-1 ?

The monotone (2-x)e^{-x}-1 is Decreasing:-infinity <x<3,Increasing:3<x<infinity

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monotone (2-x)e^{-x}-1

monotone intervals

(2 - x) e^{- x} - 1

Decreasing : - \infty < x < 3, Increasing : 3 < x < \infty

Solution steps

f^{'} (x) = e^{- x} (x - 3)

Find intervals:

Decreasing

: - \infty < x < 3,

Increasing

: 3 < x < \infty

Decreasing : - \infty < x < 3, Increasing : 3 < x < \infty

\frac{x ^{2} - 4 x + 4}{x ^{3} - 5 x ^{2}}

(3 - 4) m = - 4

f (x) = \frac{x ^{2} - 9}{x + 3}

\frac{x ^{2} + 5 x + 4}{x ^{2} - 1}

f (x) = x^{3} + 2

What is the monotone (2-x)e^{-x}-1 ?
The monotone (2-x)e^{-x}-1 is Decreasing:-infinity <x<3,Increasing:3<x<infinity