Answer
$$ \frac{dy}{dx}=\ \frac{4x}{9y}.$$
Work Step by Step
By differentiating the equation $4x^2-9y^2=36$ with respect to $ x $, we get
$$8x-18y\frac{dy}{dx}=0\Longrightarrow \frac{dy}{dx}=\frac{8x}{18y}=\frac{4x}{9y}.$$
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 3 - Differentiation - Chapter Review Exercises - Page 164: 70
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