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Popular Functions >

extreme (2ln(x+4))/(x+4)

Solution

extreme

Solution

Maximum (e - 4, \frac{2}{e})

Solution steps

f^{'} (x) = \frac{2 ( 1 - ln ( x + 4 ) )}{( x + 4 ) ^{2}}

Find intervals:

Increasing

: - 4 < x < e - 4,

Decreasing

: e - 4 < x < \infty

Plug

x = e - 4

into

\frac{2 ln ( x + 4 )}{x + 4} : \frac{2}{e}

Maximum (e - 4, \frac{2}{e})

Graph

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Frequently Asked Questions (FAQ)

What is the extreme (2ln(x+4))/(x+4) ?
The extreme (2ln(x+4))/(x+4) is Maximum(e-4, 2/e)