Implicit Differentiation
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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