FunctionMath.BackwardDerivative Method

Definition

Namespace: Extreme.Mathematics
Assembly: Extreme.Numerics (in Extreme.Numerics.dll) Version: 8.1.23

Overload List

BackwardDerivative(Func<Double, Double>, Double) Returns an approximation to the derivative of a function by using only function values at x and and values smaller than x.
BackwardDerivative(Func<Double, Double>, Double, Double) Returns an approximation to the derivative of a function by using only function values at x and and values smaller than x.
BackwardDerivative(Func<Double, Double>, Double, Double, Int32) Returns an approximation to the derivative of a function by using only function values at x and and values smaller than x.

BackwardDerivative(Func<Double, Double>, Double)

Returns an approximation to the derivative of a function by using only function values at x and and values smaller than x.
C# 
public static double BackwardDerivative(
	this Func<double, double> targetFunction,
	double x
)

Parameters

targetFunction  Func<Double, Double>
A delegate that represents a function of one variable that specifies the function to differentiate.
x  Double
The point at which to evaluate the derivative.

Return Value

Double
A numerical approximation to the derivative of targetFunction at x.

Usage Note

In Visual Basic and C#, you can call this method as an instance method on any object of type Func<Double, Double>. When you use instance method syntax to call this method, omit the first parameter. For more information, see Extension Methods (Visual Basic) or Extension Methods (C# Programming Guide).

Exceptions

ArgumentNullExceptiontargetFunction is null.

BackwardDerivative(Func<Double, Double>, Double, Double)

Returns an approximation to the derivative of a function by using only function values at x and and values smaller than x.
C# 
public static double BackwardDerivative(
	this Func<double, double> targetFunction,
	double x,
	out double estimatedError
)

Parameters

targetFunction  Func<Double, Double>
A delegate that represents a function of one variable that specifies the function to differentiate.
x  Double
The point at which to evaluate the derivative.
estimatedError  Double
On exit, this parameter contains an estimate of the absolute error of the approximation.

Return Value

Double
A numerical approximation to the derivative of targetFunction at x.

Usage Note

In Visual Basic and C#, you can call this method as an instance method on any object of type Func<Double, Double>. When you use instance method syntax to call this method, omit the first parameter. For more information, see Extension Methods (Visual Basic) or Extension Methods (C# Programming Guide).

Exceptions

ArgumentNullExceptiontargetFunction is null.

BackwardDerivative(Func<Double, Double>, Double, Double, Int32)

Returns an approximation to the derivative of a function by using only function values at x and and values smaller than x.
C# 
public static double BackwardDerivative(
	this Func<double, double> targetFunction,
	double x,
	out double estimatedError,
	out int evaluationsNeeded
)

Parameters

targetFunction  Func<Double, Double>
A delegate that represents a function of one variable that specifies the function to differentiate.
x  Double
The point at which to evaluate the derivative.
estimatedError  Double
On exit, this parameter contains an estimate of the absolute error of the approximation.
evaluationsNeeded  Int32
On exit, this parameter contains the number of function evaluations needed to calculate the numerical derivative.

Return Value

Double
A numerical approximation to the derivative of targetFunction at x.

Usage Note

In Visual Basic and C#, you can call this method as an instance method on any object of type Func<Double, Double>. When you use instance method syntax to call this method, omit the first parameter. For more information, see Extension Methods (Visual Basic) or Extension Methods (C# Programming Guide).

Exceptions

ArgumentNullExceptiontargetFunction is null.

See Also