Secant to Tangent and Derivative Trace

Secant to Tangent and Derivative Trace
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2019-09-07 02:48
This example demonstrates how a secant line approaches a tangent line at a point on a curve, visually illustrating the concept of a derivative through tracing. Key mathematical concepts include secant lines, tangent lines, derivatives, and slopes. It utilizes GeoGebra commands and objects like Point, If, Slope, and Textfield, with elements such as points A, B, C, and functions f, g. Suitable for high school and above students learning calculus to intuitively grasp the definition and geometric meaning of derivatives.

GeoGebra Commands & Parameters

  1. Point(f) → A
  2. If(h > 0, Line[A, B], Tangent[A, f]) → g
  3. Slope(g) → m
  4. Textfield(f) → InputBox1