Answer
$$5t^4e^t+t^5e^t$$
Work Step by Step
$f(t)=t^5e^t$
$\frac{d}{dt}[t^5]*(e^t)+(t^5)*\frac{d}{dt}[e^t]$
$(5t^4)(e^t)+(t^5)(e^t)$
$5t^4e^t+t^5e^t$
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: 9
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