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Popular >

extreme f(x)=xe^{-6x}

Solution

extreme points

f (x) = x e^{- 6 x}

Solution

Maximum (\frac{1}{6}, \frac{1}{6 e})

Solution steps

f^{'} (x) = e^{- 6 x} (1 - 6 x)

Find intervals:

Increasing

: - \infty < x < \frac{1}{6},

Decreasing

: \frac{1}{6} < x < \infty

Plug

x = \frac{1}{6}

into

x e^{- 6 x} : \frac{1}{6 e}

Maximum (\frac{1}{6}, \frac{1}{6 e})

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distance (0,0),(2,4)distance

(0, 0), (2, 4)

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=xe^{-6x} ?
The extreme f(x)=xe^{-6x} is Maximum(1/6 , 1/(6e))