Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 3 - Differentiation - Chapter Review Exercises - Page 163: 29

Answer

$$ y'= -7.3t^{-8.3}.$$

Work Step by Step

Recall that $(x^n)'=nx^{n-1}$ Since $ y=t^{-7.3}$, then the derivative $ y'$ is given by $$ y'= -7.3 t^{-7.3-1}=-7.3t^{-8.3}.$$
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