Answer
$$ y'= \ln t.$$
Work Step by Step
Since $ y=t\ln t-t $, then by using the product rule, we have
$$ y'=\ln t +t (1/t) -1=\ln 1-1=\ln t.$$
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 7 - Exponential Functions - 7.3 Logarithms and Their Derivatives - Exercises - Page 343: 30
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