#### Answer

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

#### Work Step by Step

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

Published by
Pearson

ISBN 10:
0321947347

ISBN 13:
978-0-32194-734-5

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

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