What is the extreme f(x)=6xe^{-0.6x} ?

The extreme f(x)=6xe^{-0.6x} is Maximum(5/3 ,(10)/e)

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extreme f(x)=6xe^{-0.6x}

extreme points

f (x) = 6 x e^{- 0.6 x}

Maximum (\frac{5}{3}, \frac{10}{e})

Solution steps

Find the critical points:

x = \frac{5}{3}

Domain of

6 x e^{- 0.6 x} : - \infty < x < \infty

Find intervals:

Increasing

: - \infty < x < \frac{5}{3},

Decreasing

: \frac{5}{3} < x < \infty

Plug the extreme point

x = \frac{5}{3}

into

6 x e^{- 0.6 x} \Rightarrow y = \frac{10}{e}

Maximum (\frac{5}{3}, \frac{10}{e})

What is the extreme f(x)=6xe^{-0.6x} ?
The extreme f(x)=6xe^{-0.6x} is Maximum(5/3 ,(10)/e)