Answer
We can see a graph of $f'(x)$ below the graph of $f(x)$
$f'(x) = \frac{1}{x}$
Work Step by Step
$f(x) = ln~x$
We can see a graph of $f'(x)$ below the graph of $f(x)$
$f'(x) \gt 0$ for all $x$ because $f$ is an increasing function.
$f'(x) = 1~$ at $~x=1$
It seems that $f'(x) = \frac{1}{x}$
