What is the extreme f(x)=6xe^{-0.5x} ?

The extreme f(x)=6xe^{-0.5x} is Maximum(2,(12)/e)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

extreme f(x)=6xe^{-0.5x}

extreme

Maximum (2, \frac{12}{e})

Solution steps

Find the critical points:

x = 2

Domain of

6 x e^{- 0.5 x} : - \infty < x < \infty

Find intervals:

Increasing

: - \infty < x < 2,

Decreasing

: 2 < x < \infty

Plug the extreme point

x = 2

into

6 x e^{- 0.5 x} \Rightarrow y = \frac{12}{e}

Maximum (2, \frac{12}{e})

What is the extreme f(x)=6xe^{-0.5x} ?
The extreme f(x)=6xe^{-0.5x} is Maximum(2,(12)/e)