FiniteDifferenceMethod.EstimateDerivative Method

Definition

Namespace: Numerics.NET.Calculus
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 9.0.4

Overload List

EstimateDerivative(Func<Double, Double>, Double)	Estimates the derivative of a function at a point.
EstimateDerivative(Func<Double, Double>, Double, Boolean)	Estimates the derivative of a function at a point.
EstimateDerivative(Func<Double, Double>, Double, Double)	Estimates the derivative of a function at a point using a fixed step size.
EstimateDerivative(Func<Double, Double>, Double, Boolean, Double, Double, Double)	Estimates the derivative of a function at a point.

EstimateDerivative(Func<Double, Double>, Double)

Estimates the derivative of a function at a point.

public double EstimateDerivative(
	Func<double, double> function,
	double x
)

Visual Basic

Public Function EstimateDerivative ( 
	function As Func(Of Double, Double),
	x As Double
) As Double

C++/CLI

public:
double EstimateDerivative(
	Func<double, double>^ function, 
	double x
)

member EstimateDerivative : 
        function : Func<float, float> * 
        x : float -> float

Parameters

function Func<Double, Double>: The function to differentiate.
x Double: The point at which to evaluate the derivative of function.

Return Value

Double
The derivative of order DerivativeOrder of function at x.

EstimateDerivative(Func<Double, Double>, Double, Boolean)

Estimates the derivative of a function at a point.

public double EstimateDerivative(
	Func<double, double> function,
	double x,
	bool adaptive
)

Visual Basic

Public Function EstimateDerivative ( 
	function As Func(Of Double, Double),
	x As Double,
	adaptive As Boolean
) As Double

C++/CLI

public:
double EstimateDerivative(
	Func<double, double>^ function, 
	double x, 
	bool adaptive
)

member EstimateDerivative : 
        function : Func<float, float> * 
        x : float * 
        adaptive : bool -> float

Parameters

function Func<Double, Double>: The function to differentiate.
x Double: The point at which to evaluate the derivative of function.
adaptive Boolean: If true, the step size is computed based on the function values around the points where the function's derivative is requested. If false (the default), a default step size is used.

Return Value

Double
The derivative of order DerivativeOrder of function at x.

EstimateDerivative(Func<Double, Double>, Double, Double)

Estimates the derivative of a function at a point using a fixed step size.

public double EstimateDerivative(
	Func<double, double> function,
	double x,
	double stepSize
)

Visual Basic

Public Function EstimateDerivative ( 
	function As Func(Of Double, Double),
	x As Double,
	stepSize As Double
) As Double

C++/CLI

public:
double EstimateDerivative(
	Func<double, double>^ function, 
	double x, 
	double stepSize
)

member EstimateDerivative : 
        function : Func<float, float> * 
        x : float * 
        stepSize : float -> float

Parameters

function Func<Double, Double>: The function to differentiate.
x Double: The point at which to evaluate the derivative of function.
stepSize Double: The step size to use.

Return Value

Double
The derivative of order DerivativeOrder of function at x.

EstimateDerivative(Func<Double, Double>, Double, Boolean, Double, Double, Double)

Estimates the derivative of a function at a point.

public double EstimateDerivative(
	Func<double, double> function,
	double x,
	bool adaptive = false,
	double xMin = -1.79769313486232E+308,
	double xMax = 1.79769313486232E+308,
	double noiseFactor = 10
)

Visual Basic

Public Function EstimateDerivative ( 
	function As Func(Of Double, Double),
	x As Double,
	Optional adaptive As Boolean = false,
	Optional xMin As Double = -1.79769313486232E+308,
	Optional xMax As Double = 1.79769313486232E+308,
	Optional noiseFactor As Double = 10
) As Double

C++/CLI

public:
double EstimateDerivative(
	Func<double, double>^ function, 
	double x, 
	bool adaptive = false, 
	double xMin = -1.79769313486232E+308, 
	double xMax = 1.79769313486232E+308, 
	double noiseFactor = 10
)

member EstimateDerivative : 
        function : Func<float, float> * 
        x : float * 
        ?adaptive : bool * 
        ?xMin : float * 
        ?xMax : float * 
        ?noiseFactor : float 
(* Defaults:
        let _adaptive = defaultArg adaptive false
        let _xMin = defaultArg xMin -1.79769313486232E+308
        let _xMax = defaultArg xMax 1.79769313486232E+308
        let _noiseFactor = defaultArg noiseFactor 10
*)
-> float

Parameters

function Func<Double, Double>: The function to differentiate.
x Double: The point at which to evaluate the derivative of function.
adaptive Boolean (Optional): Optional. If true, the step size is computed based on the function values around the points where the function's derivative is requested. If false (the default), a default step size is used.
xMin Double (Optional): Optional. The smallest value for which the function may be evaluated. The default is MinValue.
xMax Double (Optional): Optional. The largest value for which the function may be evaluated. The default is MaxValue.
noiseFactor Double (Optional): Optional. An estimate for the noise in the function values relative to the machine precision. The default is 10.

Return Value

Double
The derivative of order DerivativeOrder of function at x.

FiniteDifferenceMethod.EstimateDerivative Method

Definition

Overload List

EstimateDerivative(Func<Double, Double>, Double)

Parameters

Return Value

EstimateDerivative(Func<Double, Double>, Double, Boolean)

Parameters

Return Value

EstimateDerivative(Func<Double, Double>, Double, Double)

Parameters

Return Value

EstimateDerivative(Func<Double, Double>, Double, Boolean, Double, Double, Double)

Parameters

Return Value

See Also

Reference