Answer
$f(c) $ is a local maximum.
Work Step by Step
If $ f ′(c) = 0 $ and $f ′′(c) \lt 0$, then $f(c) $ is a local maximum.
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 4 - Applications of the Derivative - 4.4 The Shape of a Graph - Preliminary Questions - Page 194: 2
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