Calculus (3rd Edition)

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

Chapter 3 - Differentiation - 3.5 Higher Derivatives - Exercises - Page 135: 18

Answer

$ g'''(-1)=840$.

Work Step by Step

Since $ g(t)=-4t^{-5}$, then $$ g'(t)=20t^{-6}, \quad g''(t)=-120t^{-7}, \quad g'''(t)=840t^{-8}.$$ Hence, $ g'''(-1)=840$.
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