Answer
$\displaystyle r' = \frac{e^{s}(s-1)}{s^{2}}$
Work Step by Step
$r = \frac{e^{s}}{s}$
$r' = \frac{s(e^{s}) - e^{s}(1)}{s^{2}}$
$r' = \frac{e^{s}(s-1)}{s^{2}}$
University Calculus: Early Transcendentals (3rd Edition)
by Hass, Joel R.; Weir, Maurice D.; Thomas Jr., George B.
Published by
Pearson
ISBN 10:
0321999584
ISBN 13:
978-0-32199-958-0
Chapter 3 - Section 3.3 - Differentiation Rules - Exercises - Page 136: 39
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