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Popular Functions >

extreme f(x)=xe^{-3x}

Solution

extreme points

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

Solution

Maximum (\frac{1}{3}, \frac{1}{3 e})

Solution steps

f^{'} (x) = e^{- 3 x} (1 - 3 x)

Find intervals:

Increasing

: - \infty < x < \frac{1}{3},

Decreasing

: \frac{1}{3} < x < \infty

Plug

x = \frac{1}{3}

into

x e^{- 3 x} : \frac{1}{3 e}

Maximum (\frac{1}{3}, \frac{1}{3 e})

Graph

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=xe^{-3x} ?
The extreme f(x)=xe^{-3x} is Maximum(1/3 , 1/(3e))