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) $
$f’(x) = 6x^5 +4x^3+18x^2 + 5$
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
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: 17
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