Answer
$\frac{dy}{dt}=272$
Work Step by Step
$y=8x^{3}-7x^{2}$
$\frac{dy}{dt}=24x^{2}\frac{dx}{dt}-14x\frac{dx}{dt}$
$\frac{dy}{dt}=(24x^{2}-14x)\frac{dx}{dt}$
Now substitute x=2; dx/dt=4
$\frac{dy}{dt}=272$
Calculus with Applications (10th Edition)
by Lial, Margaret L.; Greenwell, Raymond N.; Ritchey, Nathan P.
Published by
Pearson
ISBN 10:
0321749006
ISBN 13:
978-0-32174-900-0
Chapter 6 - Applications of the Derivative - Chapter Review - Review Exercises - Page 351: 33
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