Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 3 - Differentiation - 3.1 Definition of the Derivative - Exercises - Page 104: 51

Answer

$1 \lt x \lt 2.5$ and for $x \gt 3.5$.

Work Step by Step

The derivative (that is, the slope of the tangent line) is positive when the height of the graph increases as we move to the right. From the given figure, this appears to be true for $1 \lt x \lt 2.5$ and for $x \gt 3.5$.
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