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Function Calculator Machine

Function Calculator Machine
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2020-06-10 10:04
FunctionDerivativeGraphing
This example demonstrates a function calculator machine where users input a number and the machine calculates and displays the result. Key mathematical concepts include function graphs, derivatives, and polynomial functions. Using GeoGebra commands such as CurveCartesian, Polygon, and Point, dynamic function graphs are constructed. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. CurveCartesian(x(A) + r * (a + 1 / b * tanh(b * sin(n * t + v))) * cos(t + v), y(A) + r * (a + 1 / b * tanh(b * sin(n * t + v))) * sin(t + v), t, 0, 6.28319) → c
  2. CurveCartesian(x(B) + R * (a + 1 / b * tanh(b * sin(n * t - v))) * cos(t - v), y(B) + R * (a + 1 / b * tanh(b * sin(n * t - v))) * sin(t - v), t, 0, 6.28319) → d
  3. Circle(B, R + 0.9) → e
  4. Circle(A, r + 0.9) → g
  5. Circle(A, r + 0.9) → h
  6. CurveCartesian(x(A) + r * (a + 1 / b * tanh(b * sin(n * t + v))) * cos(t + v), y(A) + r * (a + 1 / b * tanh(b * sin(n * t + v))) * sin(t + v), t, 0, 6.28319) → i
  7. CurveCartesian(x(C) + R * (a + 1 / b * tanh(b * sin(n * t - v))) * cos(t - v), y(C) + R * (a + 1 / b * tanh(b * sin(n * t - v))) * sin(t - v), t, 0, 6.28319) → j
  8. CurveCartesian(x(C) + r / 2 * (a + 1 / b * tanh(b * sin(n * t + v))) * cos(t + v), y(C) + r / 2 * (a + 1 / b * tanh(b * sin(n * t + v))) * sin(t + v), t, 0, 6.28319) → o
  9. Polygon(D, E, F, G) → poly1, d_1, e_1, f_1, g_1
  10. Point(g_1) → H
  11. Point(g_1) → I
  12. Polygon(H, I, J, K) → poly2, h_1, i_1, j_1, k
  13. Polygon(L, K, J, M) → poly3, l, k_1, j_2, m
  14. Point(f_1) → N
  15. Polygon(N, O, P, F) → poly4, n_1, o_1, p, f_2
  16. Textfield(s) → ChampTexte1
  17. Vector(Q, S) → u
  18. Textfield(f) → ChampTexte2
  19. Vector(U, V) → w
  20. Vector(W, Z) → z
  21. Polygon(C_1, M, L, D_1) → poly5, c_1, m_1, l_1, d_2
  22. Polygon(E_1, F_1, G_1, H_1) → poly6, e_2, f_3, g_2, h_2
  23. Semicircle(F_1, G_1) → q
  24. Mod(v / °, 2) → t_1
  25. Semicircle(F_1, G_1) → p_1
  26. Segment(A_1, B_1) → a_1

AI Drawing Prompt Reference

Draw a dynamic function graph with two circles, two complex curves, a point, and multiple polygons. Start by drawing two circles, one centered at point A and the other at point B. Then, draw two complex curves using trigonometric and hyperbolic functions. Next, mark two points on the circles and use these points along with curve points to draw multiple polygons. Finally, add two text fields and two vectors.
The prompt above was compiled from the original drawing commands and is for reference only.