Derivative Demonstration

Derivative Demonstration
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2020-05-01 20:23
This example demonstrates the geometric meaning of the tangent line, slope, and derivative at a point on a function graph. Core mathematical concepts include derivatives, tangent lines, slopes, and function extrema. It uses GeoGebra commands/objects like Point, Tangent, Segment, Slope, Derivative, Min, and Max. Suitable for high school mathematics instruction to understand the application and geometric representation of derivatives.

GeoGebra Commands & Parameters

  1. Point(f) → A
  2. Point(f) → B
  3. Tangent(A, f) → h
  4. Segment(B, C) → i
  5. Segment(C, A) → j
  6. Point(g) → D
  7. Tangent(D, g) → k
  8. Slope(k) → m
  9. Derivative(g) → g'
  10. Min(g, -4, -1) → F
  11. Max(g, 1, 4) → G
  12. Max(p, 0, 4) → H
  13. Derivative(q) → q'