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Popular >

extreme xe^{-2x}

Solution

extreme points

x e^{- 2 x}

Solution

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

Solution steps

f^{'} (x) = e^{- 2 x} (1 - 2 x)

Find intervals:

Increasing

: - \infty < x < \frac{1}{2},

Decreasing

: \frac{1}{2} < x < \infty

Plug

x = \frac{1}{2}

into

x e^{- 2 x} : \frac{1}{2 e}

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

Popular Examples

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f (x) = x^{3} - 8 x^{2} + 9 x + 18

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f (x) = \frac{( 3 x )}{( x - 2 )}

domain of f(x)=sqrt(1-2sin(x))domain

f (x) = 1 - 2 sin (x)

line (0,-3),(6,0)line

(0, - 3), (6, 0)

inverse of f(x)=\sqrt[4]{x+3}+7 inverse

Frequently Asked Questions (FAQ)

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