Calculus: Early Transcendentals (2nd Edition)

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: 9

Answer

$$5t^4e^t+t^5e^t$$

Work Step by Step

$f(t)=t^5e^t$ $\frac{d}{dt}[t^5]*(e^t)+(t^5)*\frac{d}{dt}[e^t]$ $(5t^4)(e^t)+(t^5)(e^t)$ $5t^4e^t+t^5e^t$
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