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Trace Derivative

Trace Derivative
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2014-04-21 00:32
FunctionCoordinate GeometryDerivativeSlider AnimationGraphing
This example demonstrates how to select a function, view its tangent line at a point, and trace its derivative. Key mathematical concepts include derivatives and tangent functions. Using GeoGebra commands such as SelectedElement, Point, Tangent, and Slope, dynamic geometric figures can be constructed. Suitable for high school mathematics education and learning derivative concepts.

GeoGebra Commands & Parameters

  1. SelectedElement(Function) → f
  2. Point(xAxis) → A
  3. Tangent(A, f) → T
  4. Slope(T) → m
  5. Segment(B, C) → a
  6. Segment(D, B) → c
  7. Polygon(B, C, D) → poly1, d, b_1, c_1
  8. Midpoint(a) → E
  9. Segment(A, F) → e
  10. Midpoint(e) → G
  11. Midpoint(b_1) → H
  12. CreatePanel(210) → poly2, b

AI Drawing Prompt Reference

Draw a function graph and display its tangent line and derivative. Select a point on the function graph, draw the tangent line at that point, and dynamically show the slope of the tangent line. Use a slider to control the position of the point, while also plotting the derivative graph and showing its geometric representation. The entire figure should include the function curve, tangent line, slope indicator, and derivative curve, all dynamically changing with the slider.
The prompt above was compiled from the original drawing commands and is for reference only.