Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 3 - Derivatives - 3.4 The Product and Quotient Rules - 3.4 Exercises - Page 161: 71

Answer

$300x^9+135x^8+105x^6+120x^3+45x^2+15$

Work Step by Step

$h(x)=(5x^7+5x)(6x^3+3x^2+3)$ Distribute: $h(x)=30x^{10}+15x^7+30x^4+15x^3+15x$ Now take the derivative using the power rule: $h^{‘}(x)=300x^9+135x^8+105x^6+120x^3+45x^2+15$
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