What is the monotone f(x)=1-5*x*e^{-x} ?

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

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monotone f(x)=1-5xe^{-x}

monotone intervals

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

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

y = 3^{x} + 5

\frac{3 x - 4}{x - 2}

f (x) = \frac{1}{2 + x}

f (x) = \frac{x - 1}{9}

y = x + 2

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