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如何求三角函数的导数

如何求三角函数的导数
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2020-06-09 15:48
函数三角函数微积分导数函数图像
①本范例演示了如何使用 GeoGebra 绘制三角函数图像及其导数图像；②涉及的核心数学概念包括三角函数、导数、函数图像变换；③作图要点——从下方『构造摘要』提炼用到了 Point, Derivative, Circle, Intersect, Segment, Textfield, Polynomial, Spline, Tangent, Vector 等命令和对象；④适合高中数学教学和学生学习微积分初步知识。

GeoGebra 命令及参数

  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