public IExpressionNode Derivate()
{
var leftDerivative = LeftOperand.Derivate();
var rightDerivative = RightOperand.Derivate();
return(new OperationDivision(
new OperationSubtraction(
new OperationMultiplication(LeftOperand.DeepCopy(), rightDerivative),
new OperationMultiplication(leftDerivative, RightOperand.DeepCopy())
),
new OperationPower(RightOperand.DeepCopy(), new Constant(2))));
}
public IExpressionNode Derivate()
{
var leftDerivative = LeftOperand.Derivate();
var rightDerivative = RightOperand.Derivate();
return(new OperationAdd(
new OperationMultiplication(
leftDerivative,
RightOperand.DeepCopy()),
new OperationMultiplication(
LeftOperand.DeepCopy(),
rightDerivative)));
}
public IExpressionNode Derivate()
{
if (LeftOperand.ContainsVariable() && RightOperand.ContainsVariable())
{
return(new OperationMultiplication(
this.DeepCopy(),
new OperationMultiplication(
new FunctionLn(LeftOperand.DeepCopy()),
RightOperand.DeepCopy()).Derivate()));
}
else if (LeftOperand.ContainsVariable())
{
return(new OperationMultiplication(
new OperationMultiplication(
RightOperand.DeepCopy(),
new OperationPower(
LeftOperand.DeepCopy(),
new OperationSubtraction(RightOperand.DeepCopy(), new Constant(1))
)
),
LeftOperand.Derivate()
));
}
else if (RightOperand.ContainsVariable())
{
return(new OperationMultiplication(
new OperationMultiplication(
this.DeepCopy(),
new FunctionLn(LeftOperand.DeepCopy())
),
RightOperand.Derivate()
));
}
else
{
return(new Constant(0));
}
}
IExpressionNode IExpressionNode.Derivate() => new OperationSubtraction(LeftOperand.Derivate(), RightOperand.Derivate());
IExpressionNode IExpressionNode.Derivate()
{
return(new OperationAdd(LeftOperand.Derivate(), RightOperand.Derivate()));
}