Answer
$A' = 8\pi r$
Work Step by Step
Given that $A = 4\pi r^2$, to find the rate of change, we need to take the derivative of both sides with respect to $r$, which can be done using the power rule::
$$A' = 4*2\pi r = 8\pi r$$
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: 6
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