State the condition involving that must hold at a common point for two implicit…

MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Composite, Implicit, and Inverse Functions · Differentiation: Composite, Implicit, and Inverse Functions

Problem

State the condition involving dydx\dfrac{dy}{dx} that must hold at a common point (x0,y0)(x_0,y_0) for two implicit curves F(x,y)=0F(x,y)=0 and G(x,y)=0G(x,y)=0 to have a common tangent there.

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