derivative {utilityFunctionTools}

Computes the derivative of a function

Description

Computes the derivative of a function

Usage

derivative(x, coeffs, degree = 1, ndx = 20, deg = 6)

Arguments

x

the x values for which the derivative should be computed.

coeffs

the coefficient.

degree

the degree of the derivative.

ndx

number of intervals to partition the distance between the lowest and highest x-values of the utility points.

deg

degree of the B-spline basis. Determines the degree of the function to be estimated. If deg = 2, the estimated utility function will consist of quadratic functions.

Value

the derivative of the specified degree.

Examples

coeffs <- seq(0.000002, 1.0, (1.0 - 0.000002) / 25)
x <- seq(0.01, 1.0, (1.0 - 0.01) / 5)
derivative(x, coeffs)