Derivative as Limit of Slopes of Secant Lines
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This example demonstrates the definition of the derivative through geometric figures. It involves concepts such as limits, slopes, functions, and geometric construction. The construction uses GeoGebra commands like Point, Line, Slope, and Segment to create secant lines and calculate their slopes. Suitable for high school students learning calculus fundamentals or for combining geometry and calculus teaching.
GeoGebra Commands & Parameters
Point(xAxis) → BPoint(xAxis) → CLine(D, A) → SecantLineSlope(SecantLine) → mSegment(B, C) → h