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Implicit Differentiation
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For the implicitly defined relation $$xy + 2x - 3y = 6$$, what is $$\frac{dy}{dx}$$?

A

$$\frac{dy}{dx} = \frac{-(y+2)}{x-3}$$

B

$$\frac{dy}{dx} = \frac{y+2}{x-3}$$

C

$$\frac{dy}{dx} = \frac{x-3}{y+2}$$

D

$$\frac{dy}{dx} = \frac{-(x-3)}{y+2}$$

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