Intro to derivatives virtual lab

This example demonstrates the concept of derivatives through dynamic GeoGebra visualization, highlighting the relationship between function graphs and tangent slopes. Key mathematical concepts include derivatives, geometric distribution, circles, polygons, difference and slope, rational numbers, and fractal geometry. Construction involves commands like Point, Segment, Line, Polygon, Distance, OrthogonalLine, Circle, Intersect, and Vector, along with objects such as B_1, β, Time, E, pic1, C, g, button1, D, A, f, a, F, G, H, I, J, K, q1, h, i, j, k, L, M, pic3, eq1, eq2, eq3, eq4, eq5, eq6, eq7, eq8, eq9, eq10, button2, eq11, eq12, eq13. Suitable for high school students or college freshmen to understand the connection between derivatives and geometry.