Answer
True
Work Step by Step
Let $h(x)=f(x)+g(x)$ and $f'(x)gt;0; g'(x)gt;0$ over some interval $(a, b)$.
Then $h'(x)=f'(x)+g'(x)\to h'(x)gt;0$ over the same interval.
Calculus 10th Edition
by Larson, Ron; Edwards, Bruce H.
Published by
Brooks Cole
ISBN 10:
1-28505-709-0
ISBN 13:
978-1-28505-709-5
Chapter 3 - Applications of Differentiation - 3.3 Exercises - Page 186: 91
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