State the condition

MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

State the condition, expressed in terms of

\dfrac{dy}{dx}

, for a curve to have (i) a horizontal tangent and (ii) a vertical tangent at a point.

Related theory

Derivative Foundations
Tangents and Normals

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