Exploration of the Derivative of Sine Function

GeoGebra Commands & Parameters

1. Point(e) → A
2. Circle(B, 0.8) → k
3. Intersect(j, k, 1) → C
4. Intersect(j, k, 2) → D
5. Segment(C, D) → l
6. Derivative(f) → f'
7. Point(h) → E
8. Circle(F, 0.8) → q
9. Intersect(p, q, 1) → G
10. Intersect(p, q, 2) → H
11. Segment(G, H) → n
12. Point(g) → I
13. Circle(J, 0.8) → s
14. Intersect(r, s, 1) → M
15. Intersect(r, s, 2) → N
16. Segment(M, N) → t
17. Point(i) → K
18. Circle(L, 0.8) → c_1
19. Intersect(f_1, c_1, 1) → O
20. Intersect(f_1, c_1, 2) → P
21. Segment(O, P) → a_1
22. Point(b_1) → Q
23. Circle(R, 0.8) → k_1
24. Intersect(p_1, k_1, 1) → S
25. Intersect(p_1, k_1, 2) → T
26. Segment(S, T) → i_1
27. Point(d_1) → U
28. Circle(V, 0.8) → r_1
29. Intersect(q_1, r_1, 2) → W
30. Intersect(q_1, r_1, 1) → Z
31. Segment(Z, W) → j_1
32. Point(e_1) → A_1
33. Circle(B_1, 0.8) → t_1
34. Intersect(s_1, t_1, 2) → C_1
35. Intersect(s_1, t_1, 1) → D_1
36. Segment(D_1, C_1) → l_1
37. Point(g_1) → E_1
38. Circle(F_1, 0.8) → c_2
39. Intersect(f_2, c_2, 1) → G_1
40. Intersect(f_2, c_2, 2) → H_1
41. Segment(G_1, H_1) → m_1
42. Point(h_1) → I_1
43. Circle(J_1, 0.8) → d_2
44. Intersect(g_2, d_2, 1) → K_1
45. Intersect(g_2, d_2, 2) → L_1
46. Segment(K_1, L_1) → n_1