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Popular >

extreme f(x)=2xln(9x)

Solution

extreme points

f (x) = 2 x ln (9 x)

Solution

Minimum (\frac{1}{9 e}, - \frac{2}{9 e})

Solution steps

f^{'} (x) = 2 (ln (9 x) + 1)

Find intervals:

Decreasing

: 0 < x < \frac{1}{9 e},

Increasing

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

Plug

x = \frac{1}{9 e}

into

2 x ln (9 x) : - \frac{2}{9 e}

Minimum (\frac{1}{9 e}, - \frac{2}{9 e})

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=2xln(9x) ?
The extreme f(x)=2xln(9x) is Minimum(1/(9e),-2/(9e))