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Granny, Mummy and me

Granny, Mummy and me
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2015-12-05 20:20
Coordinate GeometryCalculusDerivativeGeometric ConstructionGraphing
This example demonstrates the construction of geometric figures and function graphs using elements like points, lines, orthogonal lines, derivatives, and integrals. Core math concepts include derivatives, centroids, linear functions, and linear equations. Construction highlights the use of GeoGebra commands/objects such as Point, Line, OrthogonalLine, Derivative, Integral, Textfield, Segment as per the summary. Suitable for high school students learning analytical geometry and calculus.

GeoGebra Commands & Parameters

  1. Point(xAxis) → A
  2. Line(A, xAxis) → a
  3. Point(yAxis) → C
  4. OrthogonalLine(C, yAxis) → b
  5. Point(yAxis) → D
  6. OrthogonalLine(D, yAxis) → c
  7. Point(yAxis) → E
  8. OrthogonalLine(E, yAxis) → d
  9. Derivative(fun) → fun1
  10. Integral(fun) → fun0
  11. Textfield(fun) → InputBox1
  12. Textfield(Prim) → InputBox2
  13. Derivative(Prim) → Prim1
  14. Derivative(Prim1) → Prim2
  15. Textfield(der) → InputBox3
  16. Integral(der) → Der1
  17. Integral(Der1) → der2
  18. Point(d) → L
  19. Point(a) → M
  20. Segment(L, M) → e
  21. Point(d) → N
  22. Point(a) → O
  23. Segment(N, O) → f
  24. Point(d) → P
  25. Point(a) → Q
  26. Segment(P, Q) → g

AI Drawing Prompt Reference

Draw a geometric figure consisting of points, lines, derivatives, and integrals. Start with points on the axes, then draw perpendicular lines. Create line segments and points to form the figure. Show the relationship between derivatives and integrals in the figure.
The prompt above was compiled from the original drawing commands and is for reference only.