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Implicit Differentiation

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Consider the curve defined by the equation xy+2x−3y=6xy + 2x - 3y = 6. What is dydx\frac{dy}{dx}?

A

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

B

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

C

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

D

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

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