Secant Lines to Derivatives
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This example demonstrates how the slope of a secant line approaches the derivative of a function at a point, visually illustrating the geometric meaning of the derivative. Core mathematical concepts include derivatives, limits, secant lines, and the slope of straight lines. Key GeoGebra commands used in construction are Line for drawing secant lines, Slope for calculating slopes, Limit for demonstrating the limit process, and Min/Max for finding extrema. Suitable for high school students and above learning calculus, understanding the definition and geometric meaning of derivatives, and also for university基础教学。
GeoGebra Commands & Parameters
Line(A, B) → fSlope(f) → aLine(B, A) → gLimit(S, 0) → iMin(j, j + h) → lMax(j, j + h) → m