Answer
$y'' = 384(8x+5)$
Work Step by Step
1. Find $y'$
$y = (8x+5)^{3}$
$y' = 3(8x+5)^{2}(8)$
$y' = 24(8x+5)^{2}$
2. Find $y''$
$y' = 24(8x+5)^{2}$
$y'' = (24 \times 2)(8x+5)(8)$
$y'' = 48(8x+5)(8)$
$y'' = 384(8x+5)$
Calculus 10th Edition
by Larson, Ron; Edwards, Bruce H.
Published by
Brooks Cole
ISBN 10:
1-28505-709-0
ISBN 13:
978-1-28505-709-5
Chapter 2 - Differentiation - Review Exercises - Page 158: 71
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