Geometric Demonstration of Derivative Definition
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This example dynamically illustrates how the slope of a secant line approaches the slope of a tangent line, visually demonstrating the geometric definition of a derivative. Key math concepts include derivative, tangent, secant, slope, and limit. GeoGebra commands and objects used in construction are Segment, Line, Slope, Tangent, Corner, Polygon. Suitable for high school calculus introduction to understand the geometric meaning of the derivative definition.
GeoGebra Commands & Parameters
Segment(A, C) → ACSegment(C, B) → CBLine(A, B) → SecantSlope(Secant) → slopeTangent(a, f) → TangentCorner(1, 1) → Cnr1Corner(1, 2) → Cnr2Corner(1, 3) → Cnr3Corner(1, 4) → Cnr4Polygon(CN1, CN2, CN3, CN4) → Panel, cn1, cn2, cn3, cn4