Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 3 - Differentiation - 3.5 Higher Derivatives - Exercises - Page 135: 4


$y'' = 24t - 18$ $y''' = 24$

Work Step by Step

To calculate $y''$, first we must find $y'$ using the power rule: $y' = 3*4t^2 - 2*9t = 12t^2 - 18t$ Now, $y''$ is the derivative of $y'$, which we can once again find using the power rule: $y'' = 2*12t - 18 = 24t - 18$ To calculate $y'''$, we take the derivative of $y''$ with the power rule: $y''' = 24$
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