Answer
The function is concave up everywhere.
Work Step by Step
We calculate the derivatives:
$ f'(x)= 10x+4x^{3}$
$ f''(x)=10+12x^{2}$
For all $ x $, $ f''(x)>0$
This implies that the function is concave up everywhere.
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 - Exercises - Page 194: 6
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