Calculus with Applications (10th Edition)

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

Chapter 6 - Applications of the Derivative - 6.4 Implicit Differentiation - 6.4 Exercises - Page 334: 9

Answer

$\frac{dy}{dx}=\frac{5-2y^{-\frac{1}{2}}}{x\frac{-1}{2}}$

Work Step by Step

$2\sqrt x +4\sqrt y=5y$ $x^{\frac{-1}{2}}+ 2(y^{\frac{-1}{2}}) \frac{dy}{dx}= 5\frac{dy}{dx}$ $\frac{dy}{dx}=\frac{5-2y^{-\frac{1}{2}}}{x\frac{-1}{2}}$
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