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Dynamic Derivative Loupe II

Dynamic Derivative Loupe II
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2016-07-10 17:20
FunctionTrigonometryCalculusDerivativeGraphing
In collections ICME 13, TSG 16: A visual approach to calculus
This example demonstrates the functionality of a dynamic derivative loupe, using dynamic derivative plots to help understand the concept of derivatives. Key mathematical concepts include derivatives, functions, and trigonometric functions. It utilizes multiple GeoGebra commands such as text fields, points, polygons, midpoints, segments, if conditions, tangents, slopes, and loci. Suitable for high school and above students or teachers, it aids in a deeper understanding of the local properties of functions.

GeoGebra Commands & Parameters

  1. Textfield(f) → Textfeld1
  2. Point(f) → A
  3. Polygon(A + ((-h), (-h)), A + (h, (-h)), A + (h, h), A + ((-h), h)) → Lupe, i, j, k, l
  4. Midpoint(A_l, Al) → B
  5. Midpoint(A, Ar) → C
  6. Segment(A_l, Al) → b
  7. Segment(A + (h, (-h)), A + (2 * (h, (-h)))) → griff1
  8. Segment(A + (min, (-min)), A + (2 * (min, (-min)))) → griff2
  9. If(h > min, griff1, griff2) → griff
  10. Polygon(F, G, D, E) → Vieleck4, f_2, g_2, d_2, e_2
  11. Tangent(A, f) → tangente
  12. Slope(tangente) → steigung
  13. Locus(Z, A) → Ortslinie1
  14. Ray(H, I) → a
  15. Point(a) → X
  16. Tangent(A1, f) → tang1
  17. Slope(tang1) → st
  18. Locus(J, X) → Ortslinie2
  19. Segment(A, Z) → c