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Derivative

 Method with 2 overloads

• Derivative​(AngouriMath.​Entity,​AngouriMath.​Entity,​System.​Int32)

  Summary

  Hangs your Entity to a derivative node
  (to evaluate instead use Differentiate(AngouriMath.Entity.Variable))
  

  Parameter "expr"

  Expression to be hung

  Parameter "var"

  Variable over which derivative is taken

  Parameter "power"

  Number of times derivative is taken. Only integers will be simplified or evaluated.

  Example

  using System;
  using static AngouriMath.MathS;
  
  var (x, a) = Var("x", "a");
  
  var e1 = Derivative(Sin(Cos(x)), x);
  Console.WriteLine(e1);
  Console.WriteLine(e1.InnerSimplified);
  Console.WriteLine("-----------------------");
  var e2 = Derivative(Sin(Cos(x)), x, 2);
  Console.WriteLine(e2);
  Console.WriteLine(e2.InnerSimplified);
  Console.WriteLine("-----------------------");
  var e3 = Integral(Sin(a * x), x);
  Console.WriteLine(e3);
  Console.WriteLine(e3.InnerSimplified);
  Console.WriteLine("-----------------------");
  var e4 = Integral(Sin(a * x), x, 2);
  Console.WriteLine(e4);
  Console.WriteLine(e4.InnerSimplified);
  Console.WriteLine("-----------------------");
  var e5 = Limit(Sin(a * x) / x, x, 0);
  Console.WriteLine(e5);
  Console.WriteLine(e5.InnerSimplified);

  
  Prints
  

  derivative(sin(cos(x)), x)
  cos(cos(x)) * -sin(x)
  -----------------------
  derivative(sin(cos(x)), x, 2)
  -sin(cos(x)) * -sin(x) * -sin(x) + cos(x) * (-1) * cos(cos(x))
  -----------------------
  integral(sin(a * x), x)
  -cos(a * x) / a
  -----------------------
  integral(sin(a * x), x, 2)
  -sin(a * x) / a / a
  -----------------------
  limit(sin(a * x) / x, x, 0)
  a

• Derivative​(AngouriMath.​Entity,​AngouriMath.​Entity)

  Summary

  Hangs your Entity to a derivative node
  (to evaluate instead use Differentiate(AngouriMath.Entity.Variable))
  

  Parameter "expr"

  Expression to be hung

  Parameter "var"

  Variable over which derivative is taken

  Example

  using System;
  using static AngouriMath.MathS;
  
  var (x, a) = Var("x", "a");
  
  var e1 = Derivative(Sin(Cos(x)), x);
  Console.WriteLine(e1);
  Console.WriteLine(e1.InnerSimplified);
  Console.WriteLine("-----------------------");
  var e2 = Derivative(Sin(Cos(x)), x, 2);
  Console.WriteLine(e2);
  Console.WriteLine(e2.InnerSimplified);
  Console.WriteLine("-----------------------");
  var e3 = Integral(Sin(a * x), x);
  Console.WriteLine(e3);
  Console.WriteLine(e3.InnerSimplified);
  Console.WriteLine("-----------------------");
  var e4 = Integral(Sin(a * x), x, 2);
  Console.WriteLine(e4);
  Console.WriteLine(e4.InnerSimplified);
  Console.WriteLine("-----------------------");
  var e5 = Limit(Sin(a * x) / x, x, 0);
  Console.WriteLine(e5);
  Console.WriteLine(e5.InnerSimplified);

  
  Prints
  

  derivative(sin(cos(x)), x)
  cos(cos(x)) * -sin(x)
  -----------------------
  derivative(sin(cos(x)), x, 2)
  -sin(cos(x)) * -sin(x) * -sin(x) + cos(x) * (-1) * cos(cos(x))
  -----------------------
  integral(sin(a * x), x)
  -cos(a * x) / a
  -----------------------
  integral(sin(a * x), x, 2)
  -sin(a * x) / a / a
  -----------------------
  limit(sin(a * x) / x, x, 0)
  a