Calculus 10th Edition

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

Chapter 5 - Logarithmic, Exponential, and Other Transcendental Functions - 5.1 Exercises - Page 326: 73

Answer

$y’=-\frac{2xy}{2y^2-3}$

Work Step by Step

$x^2-3lny+y^2=10$ $2x-\frac{3}{y}y’+2yy’=0$ $2xy-3y’+2y^2y’=0$ $y’(2y^2-3)=-2xy$ $y’=-\frac{2xy}{2y^2-3}$
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