Parametric Equations Derivative Example
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Parametric Equations
This example demonstrates how to plot a curve from parametric equations and compute its derivative. Key math concepts include parametric equations, derivatives, and analytical geometry. GeoGebra commands used are CurveCartesian for plotting, Point for creating points, Circle for drawing circles, Tangent for calculating tangents, Intersect for finding intersections, Vector for drawing vectors, and Slope for calculating slopes. Suitable for high school and above students to learn about the application of parametric equations and their derivatives.
GeoGebra Commands & Parameters
CurveCartesian(t^(2), t^(3) - (3 * t), t, -5, 5) → aPoint(a) → ACircle(A, 1) → cTangent(A, a) → bIntersect(c, b, 2) → BIntersect(c, b, 1) → CVector(A, C) → uVector(A, B) → vSlope(b) → d