Answer
$f'(x) = \frac{g'(ln~x)}{x}$
Work Step by Step
$f(x) = g(ln~x)$
$f'(x) = g'(ln~x)~\cdot \frac{d}{dx}(ln~x)$
$f'(x) = g'(ln~x)~\cdot \frac{1}{x}$
$f'(x) = \frac{g'(ln~x)}{x}$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.