How do you graph $y = \frac{ln x}{x}$ $y=(lnx)/x$ ?

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Answer 1 · 2017-10-30T08:40:03

See explanation

Natural log of numbers:

$ln 1 = 0$ $Ln1=0$
$ln 2 = 0.693$ $Ln2=0.693$
$ln 3 = 1.099$ $Ln3=1.099$
$ln 4 = 1.386$ $Ln4=1.386$
$ln 5 = 1.609$ $Ln5=1.609$

Your function
at x=2, $y = 0.3465$ $y=0.3465$
at x=3, $y = 0.366$ $y=0.366$
at x=4, $y = 0.347$ $y=0.347$
at x=5, $y = 0.321$ $y=0.321$ etc.

The graph is given below:

graph{(lnx)/x [-5.46, 14.54, -7, 3]}

How do you graph y=lnxxy=(lnx)/x?