University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 3 - Practice Exercises - Page 202: 41

Answer

$\frac{dy}{dx}=(-2e^{\frac{-x}{5}})$

Work Step by Step

$y=10e^{\frac{-x}{5}}$ on differentiating both sides: $\frac{dy}{dx}=\frac{d(10e^{\frac{-x}{5}})}{dx}$ $\frac{dy}{dx}=(10\frac{-1}{5}e^{\frac{-x}{5}})$ $\frac{dy}{dx}=(-2e^{\frac{-x}{5}})$
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