Calculus (3rd Edition)

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

Chapter 3 - Differentiation - 3.3 Product and Quotient Rules - Exercises - Page 122: 32


$$ h'(s) =(s+4)(s^2+1)+s(s^2+1)+2s^2(s+4).$$

Work Step by Step

Since $ h(s)=s(s+4)(s^2+1)$, then the derivative, using the product rule, is given by $$ h'(s)=s'(s+4)(s^2+1)+s(s+4)'(s^2+1)+s(s+4)(s^2+1)'\\ =(s+4)(s^2+1)+s(s^2+1)+2s^2(s+4).$$
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