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Popular >

extreme f(x)=xe^{-x/4}

Solution

extreme points

f (x) = x e^{- \frac{x}{4}}

Solution

Maximum (4, \frac{4}{e})

Solution steps

f^{'} (x) = e^{- \frac{x}{4}} (1 - \frac{x}{4})

Find intervals:

Increasing

: - \infty < x < 4,

Decreasing

: 4 < x < \infty

Plug

x = 4

into

x e^{- \frac{x}{4}} : \frac{4}{e}

Maximum (4, \frac{4}{e})

Popular Examples

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- x^{2} + 100 x + 8

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y = x 16 - x^{2}

extreme f(x,y)=7e^y-6ye^x extreme points

f (x, y) = 7 e^{y} - 6 y e^{x}

Frequently Asked Questions (FAQ)

What is the extreme f(x)=xe^{-x/4} ?
The extreme f(x)=xe^{-x/4} is Maximum(4, 4/e)