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Popular >

extreme xe^{-x}

Solution

extreme points

x e^{- x}

Solution

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

Solution steps

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

Find intervals:

Increasing

: - \infty < x < 1,

Decreasing

: 1 < x < \infty

Plug

x = 1

into

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

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

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Frequently Asked Questions (FAQ)

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