Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 2 - Differentiation - 2.4 Exercises - Page 136: 38

Answer

$g'(x) = \dfrac{1}{2\sqrt{x-1}}+\dfrac{1}{2\sqrt{x+1}}$ The derivative of the function has no zeros.

Work Step by Step

The function is given by the equation $g(x) = \sqrt{x-1} + \sqrt{x+1}$ Using a computer algebra system, the derivative of the function is: $g'(x) = \dfrac{1}{2\sqrt{x-1}}+\dfrac{1}{2\sqrt{x+1}}$ The red curve represents the graph of the function. The blue curve represents its derivative. The derivative of the function has no zeros.
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