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Visualizing the Differential: Mapping Diagrams and Graphs

Visualizing the Differential: Mapping Diagrams and Graphs
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2016-01-02 11:53
FunctionDerivativeGraphing
This example visualizes the differential using mapping diagrams and graphs. It demonstrates the derivative of a function at a specific point, involving key mathematical concepts such as derivatives and function graphs. It utilizes GeoGebra commands like Point, Derivative, Textfield, Vector, Segment, Line, and Intersect. Suitable for high school mathematics education and students learning calculus.

GeoGebra Commands & Parameters

  1. Point(yAxis) → A
  2. Derivative(f) → f'
  3. Textfield(tanL) → inputBox1
  4. Vector(x_1, y_1) → v
  5. Segment(f_x, F) → c
  6. Segment(E, F) → d
  7. Segment(A, x_1) → e
  8. Segment(B, y_1) → g
  9. Segment(B, y_1) → dy
  10. Line(x_1, y_1) → i
  11. Line(A, B) → k
  12. Intersect(i, k) → Focus
  13. Vector(A, B) → u
  14. Vector(x_1, C) → w
  15. Textfield(f) → inputBox2