Answer
48
Work Step by Step
Apply the product rule:
$F'(x)=f(x)\frac{d}{dx}(x^{2})+x^{2}\times f'(x)$
$=f(x)\times2x+x^{2}\times f'(x)$
$F'(4)=f(4)\times2(4)+(4)^{2}\times f'(4)$
$=(10\times8)+(16\times-2)=48$
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: 40
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