What is the extreme f(x)=-xe^{-x}-4e^{-x} ?

The extreme f(x)=-xe^{-x}-4e^{-x} is Minimum(-3,-e^3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

extreme f(x)=-xe^{-x}-4e^{-x}

extreme

Minimum (- 3, - e^{3})

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < - 3,

Increasing

: - 3 < x < \infty

Plug

x = - 3

into

- x e^{- x} - 4 e^{- x} : - e^{3}

Minimum (- 3, - e^{3})

What is the extreme f(x)=-xe^{-x}-4e^{-x} ?
The extreme f(x)=-xe^{-x}-4e^{-x} is Minimum(-3,-e^3)