public SyntaxBlock Derivative(ArgumentValue ArgumentToDerive)
{
return(new Sum(new Product(A.Derivative(ArgumentToDerive), B), new Product(A, B.Derivative(ArgumentToDerive))));
}
public SyntaxBlock Derivative(VariableArgumentValue ArgumentToDerive)
{
return(DerivativeFormulate(A.Derivative(ArgumentToDerive), B.Derivative(ArgumentToDerive)));
}
public SyntaxBlock Derivative(ArgumentValue ArgumentToDerive)
{
//(A'*B + -1(B'*A))/(B*B) == (A'*B - B'*A)/B^2
return(new Quotient(new Sum(new Product(A.Derivative(ArgumentToDerive), B),
new Product(new NumericConstant(-1), new Product(B.Derivative(ArgumentToDerive), A))), new Product(B, B)));
}
/// <summary>
/// Calculates all the partial derivatives of a given formula.
/// </summary>
/// <param name="Formula">The formula for which to calculate all partial derivatives.</param>
/// <returns>A list of tuples, containing the ArgumentValue for which it was calculated (item1) and the formula itself(item2).</returns>
public static List <Tuple <ArgumentValue, SyntaxBlock> > CalculatePartialDerivatives(SyntaxBlock Formula)
{
var AllVariableVariables = Formula.GetAllVariables(true);
var distinctVariables = AllVariableVariables.Distinct();
List <Tuple <ArgumentValue, SyntaxBlock> > PartialDerivatives = new List <Tuple <ArgumentValue, SyntaxBlock> >();
foreach (ArgumentValue i in distinctVariables)
{
PartialDerivatives.Add(new Tuple <ArgumentValue, SyntaxBlock>((ArgumentValue)i, Formula.Derivative((ArgumentValue)i).Simplify()));
}
return(PartialDerivatives);
}
public SyntaxBlock Derivative(VariableArgumentValue ArgumentToDerive)
{
return(new Sum(A.Derivative(ArgumentToDerive), B.Derivative(ArgumentToDerive)));
}