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Finding Derivatives of Trigonometric Functions

Finding Derivatives of Trigonometric Functions
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2020-06-09 15:48
FunctionTrigonometryCalculusDerivativeGraphing
This example demonstrates how to use GeoGebra to plot trigonometric functions and their derivatives, covering core concepts like trigonometric functions, derivatives, and function graph transformations. It utilizes commands and objects such as Point, Derivative, Circle, Intersect, Segment, Textfield, Polynomial, Spline, Tangent, and Vector. Ideal for high school mathematics teaching and learning introductory calculus concepts.

GeoGebra Commands & Parameters

  1. Point(l) → N
  2. Point(g) → J
  3. Derivative(f) → f'
  4. Point(h) → K
  5. Point(i) → L
  6. Point(p) → Q
  7. Point(n) → P
  8. Point(m) → O
  9. Point(q) → R
  10. Circle(E, 2) → c
  11. Intersect(c, r) → S, T
  12. Segment(S, T) → s
  13. Circle(A, 2) → d
  14. Intersect(d, t) → U, V
  15. Segment(U, V) → e
  16. Circle(F, 2) → c_1
  17. Intersect(c_1, f_1) → W, Z
  18. Segment(W, Z) → g_1
  19. Circle(B, 2) → d_1
  20. Intersect(d_1, h_1) → A_1, B_1
  21. Segment(A_1, B_1) → i_1
  22. Circle(G, 2) → e_1
  23. Intersect(e_1, j_1) → C_1, D_1
  24. Segment(C_1, D_1) → k_1
  25. Circle(C, 2) → p_1
  26. Intersect(p_1, l_1) → E_1, F_1
  27. Segment(E_1, F_1) → m_1
  28. Circle(H, 2) → q_1
  29. Intersect(q_1, n_1) → G_1, H_1
  30. Segment(G_1, H_1) → r_1
  31. Circle(D, 2) → s_1
  32. Intersect(s_1, t_1) → I_1, J_1
  33. Segment(I_1, J_1) → a_1
  34. Circle(I, 2) → c_2
  35. Intersect(c_2, b_1) → K_1, L_1
  36. Segment(K_1, L_1) → f_2
  37. Textfield(f) → ChampTexte1
  38. Polynomial(l1) → g_2
  39. Spline(l1, 3) → u
  40. Segment(E, N) → h_2
  41. Segment(A, J) → i_2
  42. Segment(F, O) → j_2
  43. Segment(B, K) → k_2
  44. Segment(P, G) → l_2
  45. Segment(L, C) → m_2
  46. Segment(H, Q) → n_2
  47. Segment(D, M) → q_2
  48. Tangent(N_1, p_2) → r_2
  49. Circle(N_1, 2) → d_2
  50. Intersect(d_2, r_2) → O_1, P_1
  51. Segment(P_1, O_1) → s_2
  52. Segment(M_1, N_1) → t_2
  53. Intersect(f, p_2, (-7.509791604489711, -0.9413490732161692)) → R_1
  54. Vector(Q_1, R_1) → v
  55. Point(f') → S_1
  56. Vector(T_1, S_1) → w