Calculus (3rd Edition)

Published by W. H. Freeman

Chapter 4 - Applications of the Derivative - 4.4 The Shape of a Graph - Exercises - Page 194: 6

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.

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