Answer
$g'(t)=\frac{1}{2t\sqrt{1+\ln t}}$
Work Step by Step
$g(t)=\sqrt{1+\ln t}\\
g'(t)=\frac{1}{2\sqrt{1+\ln t}}\times\frac{1}{t}\\
g'(t)=\frac{1}{2t\sqrt{1+\ln t}}$
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.