Derivative Function Demo by Stavroula Neokleous

Derivative Function Demo by Stavroula Neokleous
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2017-10-17 01:58
This example demonstrates how to dynamically visualize the derivative of a function and its geometric significance. Key math concepts include derivatives, tangent slopes, piecewise functions, and vector operations. Construction highlights involve GeoGebra commands like Tangent, Slope, Textfield, Intersect, Circle, and Vector to build an interactive model. Suitable for high school students and calculus beginners learning about the geometric meaning of derivatives and function properties.

GeoGebra Commands & Parameters

  1. Tangent(A, f) → g
  2. Slope(g) → m
  3. Textfield(f) → InputBox1
  4. Textfield(a) → InputBox2
  5. Intersect(f', h, (-6.584198838559817, -1.3168397677119634)) → B
  6. Intersect(f', i, 1) → C
  7. Circle(A, 2.5) → c
  8. Intersect(c, g) → D, E
  9. Vector(A, D) → u
  10. Vector(A, E) → v