Answer
$$-2e^{-x/5}$$
Work Step by Step
Given $$
y=10 e^{-x / 5}
$$
Then
\begin{align*}
y'&= 10e^{-x/5} \frac{d}{dx}(-x/5)\\
&=-2e^{-x/5}
\end{align*}
Thomas' Calculus 13th Edition
by Thomas Jr., George B.
Published by
Pearson
ISBN 10:
0-32187-896-5
ISBN 13:
978-0-32187-896-0
Chapter 7: Transcendental Functions - Practice Exercises - Page 439: 1
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