Calculus (3rd Edition)

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


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.
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