Vector-Valued Function Derivative and Tangent Vector Visualization

This example demonstrates how to use GeoGebra to plot the derivative of a vector-valued function, showing tangent vectors at various points on a parametric curve. The core mathematical concepts include vector-valued functions, the geometric meaning of derivatives (tangent vectors), and differential geometry of parametric curves. Construction details: Use CurveCartesian to draw the parametric curve r(t), compute its derivative r'(t), use Vector to draw tangent vectors at points on the curve, and Point to mark key points (A, B, C, etc.). This example is suitable for advanced calculus and vector analysis courses, helping students intuitively understand parametric curve tangent vectors, ideal for university mathematics or engineering students.