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Popular Functions >

extreme xe^{-5x}

Solution

extreme

Solution

Maximum (\frac{1}{5}, \frac{1}{5 e})

Solution steps

f^{'} (x) = e^{- 5 x} (1 - 5 x)

Find intervals:

Increasing

: - \infty < x < \frac{1}{5},

Decreasing

: \frac{1}{5} < x < \infty

Plug

x = \frac{1}{5}

into

x e^{- 5 x} : \frac{1}{5 e}

Maximum (\frac{1}{5}, \frac{1}{5 e})

Graph

Popular Examples

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Frequently Asked Questions (FAQ)

What is the extreme xe^{-5x} ?
The extreme xe^{-5x} is Maximum(1/5 , 1/(5e))