Answer
$h''(1)=24.$
Work Step by Step
$h'(x)=(3)(3)\frac{1}{9}(3x+1)^{3-1}=(3x+1)^2$
$h''(x)=(3)(2)(3x+1)^{2-1}=6(3x+1)=18x+6.$
$h''(1)=18(1)+6=24.$
A computer algebra system has been used to verify this result.
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 - 2.4 Exercises - Page 137: 91
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