Topic: Parametric Curves and Derivatives

A Worked Parametric Curve Analysis

Tangent Directions at Self-Intersections

Repeated Points and Self-Intersections

Tangent Analysis for Polynomial Parametrizations

Tangencies and Concavity on Cycloid-Type Curves

How Reparametrization Changes Speed

Tangents to Parametrized Circles and Ellipses

Inflection Points on Parametric Curves

Cusps and Other Singular Parameter Values

Speed Along a Parametrized Curve