The curve intersects the vertical line at two points

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

Problem

The curve

x^{2}-xy+y^{2}=7

intersects the vertical line

x=2

at two points. Calculate the slope of the tangent at each of these intersection points.

Related theory

Advanced Differentiation
Implicit and parametric differentiation
Derivatives of implicit functions
Continuity and Differentiability

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