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Popular >

extreme-x*e^{-x}

Solution

extreme points

- x \cdot e^{- x}

Solution

Minimum (1, - \frac{1}{e})

Solution steps

Find the critical points:

x = 1

Domain of

- x \cdot e^{- x} : - \infty < x < \infty

Find intervals:

Decreasing

: - \infty < x < 1,

Increasing

: 1 < x < \infty

Plug the extreme point

x = 1

into

- x \cdot e^{- x} \Rightarrow y = - \frac{1}{e}

Minimum (1, - \frac{1}{e})

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Frequently Asked Questions (FAQ)

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