Answer
$\dfrac{dy}{dt}$ =10
Work Step by Step
Given: $\dfrac{dx}{dt} = 2$ and $y=5x$
Now, $\dfrac{dy}{dt}= 5\dfrac{d x}{dt}$
or, $\dfrac{dy}{dt} = (5)(2)=10$
Thus the answer is: $\dfrac{dy}{dt}$ =10
Thomas' Calculus 13th Edition
by Thomas Jr., George B.
Published by
Pearson
ISBN 10:
0-32187-896-5
ISBN 13:
978-0-32187-896-0
Chapter 3: Derivatives - Section 3.8 - Related Rates - Exercises 3.8 - Page 161: 3
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