Spline2D.Derivative Method (Double, Double, Int32, Int32)

Spline2DDerivative Method (Double, Double, Int32, Int32)

Returns the value of the partial derivative of the tensor-product spline at the point (x, y).

Namespace: Imsl.Math
Assembly: ImslCS (in ImslCS.dll) Version: 6.5.2.0

Syntax

public virtual double Derivative(
	double x,
	double y,
	int xPartial,
	int yPartial
)

Public Overridable Function Derivative ( 
	x As Double,
	y As Double,
	xPartial As Integer,
	yPartial As Integer
) As Double

public:
virtual double Derivative(
	double x, 
	double y, 
	int xPartial, 
	int yPartial
)

abstract Derivative : 
        x : float * 
        y : float * 
        xPartial : int * 
        yPartial : int -> float 
override Derivative : 
        x : float * 
        y : float * 
        xPartial : int * 
        yPartial : int -> float

Parameters

x: Type: SystemDouble
A double scalar specifying the x-coordinate of the evaluation point for the tensor-product spline.
y: Type: SystemDouble
A double scalar specifying the y-coordinate of the evaluation point for the tensor-product spline.
xPartial: Type: SystemInt32
An int scalar specifying the x-partial derivative.
yPartial: Type: SystemInt32
An int scalar specifying the y-partial derivative.

Return Value

Type: Double
A double scalar containing the value of the partial derivative

$\frac{{\partial ^{i + j} s}}{{\partial ^i x\,\,\partial ^j y}}$

where i = xPartial and j = yPartial, at (x, y).

Reference

Spline2D Class

Derivative Overload

Imsl.Math Namespace