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Derivative Graph by mattharms1972

Derivative Graph by mattharms1972
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2016-09-27 22:21
FunctionCalculusDerivative
This example illustrates the concept of derivatives by showing the geometric meaning of derivatives through function graphs. Key mathematical concepts include derivatives and function graphs. It uses GeoGebra commands such as Segment, Point, If, Line, Slope, and Textfield. Suitable for high school and above students to learn the concept of derivatives and their geometric meaning.

GeoGebra Commands & Parameters

  1. Segment((xmn, 0), (xmx, 0)) → a
  2. Point(a) → A
  3. Segment(T - (0.7 * (1, m)), T + (0.7 * (1, m))) → TanSeg
  4. If(togA ≟ 1, "Stop animation", "Animate A") → Animate
  5. Segment(A, D) → AD
  6. Line(T, T + (1, m)) → TanLine
  7. Slope(TanSeg) → m_1
  8. Textfield(f) → InputfOFx
  9. Textfield(speed) → InputSpd
  10. If(togT ≟ 0, "Show Traces", "Stop Traces") → ShowTraces
  11. Segment(D - (0.7 * (1, m2)), D + (0.7 * (1, m2))) → Tan2Seg