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Popular >

extreme 2xe^{-x}

Solution

extreme points

2 x e^{- x}

Solution

Maximum (1, \frac{2}{e})

Solution steps

Find the critical points:

x = 1

Domain of

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

Find intervals:

Increasing

: - \infty < x < 1,

Decreasing

: 1 < x < \infty

Plug the extreme point

x = 1

into

2 x e^{- x} \Rightarrow y = \frac{2}{e}

Maximum (1, \frac{2}{e})

Graph

Popular Examples

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f (y) = 7 x - x^{2} + 18

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extreme 4x^3-210x^2+3600x-200 extreme points

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extreme 1/3 x^3+1/2 x^2-2x extreme points

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Frequently Asked Questions (FAQ)

What is the extreme 2xe^{-x} ?
The extreme 2xe^{-x} is Maximum(1, 2/e)