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: 17

Answer

$f’(x) = 6x^5 +4x^3+18x^2 + 5$

Work Step by Step

$f(x) = (x^3 + x +1)(x^3+5) $ Product Rule: $f’(x) = (3x^2 +1)(x^3+5)+(3x^2)(x^3+x+1) $ $f’(x) = (3x^5 +15x^2 +x^3 +5+3x^5+3x^3 +3x^2) $ $f’(x) = 6x^5 +4x^3+18x^2 + 5$
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