What is the extreme f(x)=4xe^{-0.2x} ?

The extreme f(x)=4xe^{-0.2x} is Maximum(5,(20)/e)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

extreme f(x)=4xe^{-0.2x}

extreme

Maximum (5, \frac{20}{e})

Solution steps

Find the critical points:

x = 5

Domain of

4 x e^{- 0.2 x} : - \infty < x < \infty

Find intervals:

Increasing

: - \infty < x < 5,

Decreasing

: 5 < x < \infty

Plug the extreme point

x = 5

into

4 x e^{- 0.2 x} \Rightarrow y = \frac{20}{e}

Maximum (5, \frac{20}{e})

What is the extreme f(x)=4xe^{-0.2x} ?
The extreme f(x)=4xe^{-0.2x} is Maximum(5,(20)/e)