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Popular >

extreme f(x)=xln(2x)

Solution

extreme points

f (x) = x ln (2 x)

Solution

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

Solution steps

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

Find intervals:

Decreasing

: 0 < x < \frac{1}{2 e},

Increasing

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

Plug

x = \frac{1}{2 e}

into

x ln (2 x) : - \frac{1}{2 e}

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

Popular Examples

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extreme f(x)=x^3-x^2-5x+7 extreme points

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Frequently Asked Questions (FAQ)

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