Answer
$ v' = 10T^{-1/2}$
Work Step by Step
We know that $ v = 20\sqrt{T} = 20T^{1/2}$.
To find the rate of change, we have to find the derivative of both sides with respect to T using the power rule:
$ v' = 10T^{-1/2}$
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 3 - Differentiation - 3.4 Rates of Change - Exercises - Page 129: 8
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