Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 2 - The Derivative - 2.4 The Product And Quotient Rules - Exercises Set 2.4 - Page 147: 39

Answer

$F''(x)= xf''(x) + 2f'(x)$

Work Step by Step

$F'(x) = xf'(x) + (1)f(x)$ $= xf'(x) + f(x)$ $\Rightarrow F''(x) = (xf''(x) + f'(x)) + f'(x)$ $= xf''(x) + 2f'(x)$
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