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: 37

Answer

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

Work Step by Step

The function is given by the equation $y=\sqrt{\dfrac{x+1}{x}}$ Using a computer algebra system, the derivative of the function is: $y' = \dfrac{-1}{2x^2 \sqrt{\dfrac{x+1}{x}}}$ 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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