Answer
$g'(t)=e^{\frac{t}{2}}(2+t)$
Work Step by Step
$g(t)=2te^{\frac{t}{2}}$
Product Rule:
$g'(t)=(2)(e^{\frac{t}{2}})+ (2t)(\frac{1}{2}e^{\frac{t}{2}}) = e^{\frac{t}{2}}(2+t)$
Calculus: Early Transcendentals (2nd Edition)
by Briggs, Bill L.; Cochran, Lyle; Gillett, Bernard
Published by
Pearson
ISBN 10:
0321947347
ISBN 13:
978-0-32194-734-5
Chapter 3 - Derivatives - 3.4 The Product and Quotient Rules - 3.4 Exercises - Page 160: 44
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