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Popular Functions >

extreme f(x)=xe^{-9x}

Solution

extreme

Solution

Maximum (\frac{1}{9}, \frac{1}{9 e})

Solution steps

f^{'} (x) = e^{- 9 x} (1 - 9 x)

Find intervals:

Increasing

: - \infty < x < \frac{1}{9},

Decreasing

: \frac{1}{9} < x < \infty

Plug

x = \frac{1}{9}

into

x e^{- 9 x} : \frac{1}{9 e}

Maximum (\frac{1}{9}, \frac{1}{9 e})

Graph

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=xe^{-9x} ?
The extreme f(x)=xe^{-9x} is Maximum(1/9 , 1/(9e))