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基础导数练习

基础导数练习
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2015-07-12 06:27
函数微积分导数
①本范例演示了基础导数的计算与可视化；②涉及核心数学概念包括导数、函数图像、解析几何；③构造要点：使用了Shuffle, Element, Simplify, Random, Textfield等命令，涉及难度设置、函数列表、导数计算等对象；④适合高中阶段微积分学习或作为导数计算的练习工具。

GeoGebra 命令及参数

  1. Shuffle({1, 2, 3, 4, 5, 6, 7, 8, 9}) → scalerList
  2. Element(scalerList, 3) → m3
  3. Element(scalerList, 1) → m1
  4. Element(scalerList, 2) → m2
  5. Simplify((m2 * x) + m3) → LinearFunction
  6. Simplify((m1 * sin(LinearFunction(x)))) → trig1
  7. Simplify((m1 * ℯ^(LinearFunction(x)))) → exponential1
  8. Simplify((m1 * sqrt(LinearFunction(x)))) → algebraic3
  9. Simplify((m1 * tan(LinearFunction(x)))) → trig4
  10. Simplify((m1 * cos(LinearFunction(x)))) → trig2
  11. Shuffle({2, 3, 4, 5, 6, 7, 8, 9}) → exponentList
  12. Element(exponentList, 3) → n3
  13. Element(exponentList, 1) → n1
  14. Element(exponentList, 2) → n2
  15. Simplify((m1 * exp(x)) + (m2 * n2^(x)) + (m3 * log(x))) → exponential4
  16. Random(1, difficulty) → FunctionChoice2
  17. Random(1, 4) → FunctionChoice
  18. Element(FullFunctionList, FunctionChoice2, FunctionChoice) → OriginalFunction
  19. Textfield(GuessedDerivative) → guessedDerivativeBox
  20. Random(2, 9) → n
  21. Element(exponentList, 4) → n4
  22. Element(exponentList, 5) → n5
  23. Element(scalerList, 4) → m4
  24. Random(1, 10) → FunctionChoice2a