Answer
$e^xg'(e^x)$
Work Step by Step
Use chain rule and let $u=e^x$. The result is $\frac{du}{dx}g'(u)$, which simplifies to the above.
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.