## Calculus (3rd Edition)

Published by W. H. Freeman

# Chapter 3 - Differentiation - Chapter Review Exercises - Page 164: 70

#### 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 $$8x-18y\frac{dy}{dx}=0\Longrightarrow \frac{dy}{dx}=\frac{8x}{18y}=\frac{4x}{9y}.$$

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