Graphically Calculate Derivative

Graphically Calculate Derivative
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2017-08-28 07:01
This example demonstrates how to calculate derivatives graphically. The key mathematical concept is the derivative, which represents the instantaneous rate of change of a function at a point. By constructing tangent and secant lines, the concept of a derivative is visually understood. GeoGebra commands used include Point, Line, Segment, Tangent, Midpoint, and Textfield. Suitable for high school mathematics education and learning derivative concepts.

GeoGebra Commands & Parameters

  1. Point(xAxis) → X_0
  2. Line(P, Q) → secant
  3. Segment(P, R) → ΔxSeg
  4. Segment(Q, R) → ΔySeg
  5. Tangent(P, f) → tangent
  6. Midpoint(ΔxSeg) → ΔxSeg'
  7. Midpoint(ΔySeg) → ΔySeg'
  8. Textfield(f) → InputBox1