Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 3 - Section 3.9 - Related Rates - 3.9 Exercises - Page 249: 1

Answer

$\frac{dV}{dt} = 3x^2~\frac{dx}{dt}$

Work Step by Step

$V = x^3$ $\frac{dV}{dx} = 3x^2$ $\frac{dV}{dx}\cdot \frac{dx}{dt} = 3x^2~\frac{dx}{dt}$ $\frac{dV}{dt} = 3x^2~\frac{dx}{dt}$
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