#### Answer

$f'(x) = \frac{1-x}{e^x}$

#### Work Step by Step

$f(x)=xe^{-x} = \frac{x}{e^x}$
Quotient Rule:
$f'(x) = \frac{(1)(e^x)-(x)(e^x)}{e^{2x}} = \frac{e^x-xe^x}{e^{2x}} = \frac{1-x}{e^x}$

Published by
Pearson

ISBN 10:
0321947347

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

$f'(x) = \frac{1-x}{e^x}$

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