Class Differentiation

java.lang.Object

org.episteme.core.mathematics.analysis.Differentiation

public final class Differentiation
extends Object

Provides numerical and symbolic differentiation capabilities. * @author Silvere Martin-Michiellot

Since:

1.0

Author:

Gemini AI (Google DeepMind)

Method Summary

Modifier and Type	Method	Description
static Real	derivativeAt(RealFunction f, Real x)	Computes the numerical derivative of a function at a specific point using Ridders' method of polynomial extrapolation for high accuracy.
static RealFunction	of(RealFunction f)	Returns the derivative of the given function.

Methods inherited from class Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Method Details

of

public static RealFunction of(RealFunction f)

Returns the derivative of the given function.

If the function implements its own RealFunction.derivative() method, it is used. Otherwise, a numerical differentiation wrapper is returned.

Parameters:

f - the function to differentiate

Returns:

the derivative function f'

derivativeAt

public static Real derivativeAt(RealFunction f,
 Real x)

Computes the numerical derivative of a function at a specific point using Ridders' method of polynomial extrapolation for high accuracy.

Parameters:

f - the function

x - the point at which to evaluate the derivative

Returns:

the approximate value of f'(x)