Answer
$\frac{df}{dt}=3\frac{dx}{dt}$
Work Step by Step
$\frac{d}{dt}[f]=\frac{d}{dt}(3x)=\frac{d}{dx}(3x)\times\frac{dx}{dt}= 3\times\frac{dx}{dt}$
A related-rates equation is
$\frac{df}{dt}= 3\frac{dx}{dt}$
Calculus Concepts: An Informal Approach to the Mathematics of Change 5th Edition
by LaTorre, Donald R.; Kenelly, John W.; Reed, Iris B.; Carpenter, Laurel R.; Harris, Cynthia R.
Published by
Brooks Cole
ISBN 10:
1-43904-957-2
ISBN 13:
978-1-43904-957-0
Chapter 4 - Analyzing Change: Applications of Derivatives - 4.7 Activities - Page 309: 1
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