Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter 5 - Graphs and the Derivative - Chapter Review - Review Exercises - Page 297: 22


f is increasing in $(-\infty, \frac{-7}{2})$ and $(\frac{-7}{2},+\infty)$

Work Step by Step

The function f is undefined when x=-7/2, so -7/2 is not in the domain of f. $f'(x)=\frac{15}{(2x+7)^{2}}$ Since $f'(x)>0$, we have: f is increasing in $(-\infty, \frac{-7}{2})$ and $(\frac{-7}{2},+\infty)$
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