In one or two sentences

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

Problem

In one or two sentences, explain why you must first verify that an ordered pair

(a,b)

satisfies an implicit equation before determining the tangent line at that point.

Related theory

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

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