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: 125

Answer

False.

Work Step by Step

Incorrect application of the chain rule; $\dfrac{du}{dx}$ was not included in the solution. Correct Solving: $u=(1-x)$; $\dfrac{du}{dx}=-1$ $y=\sqrt{u};\dfrac{dy}{du}=\dfrac{1}{2\sqrt{u}}$ $\dfrac{dy}{dx}=\dfrac{dy}{du}\times\dfrac{du}{dx}=-\frac{1}{2}(1-x)^{-\frac{1}{2}}.$
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