| Package | Description | 
|---|---|
| org.apache.commons.math3.analysis | 
      Parent package for common numerical analysis procedures, including root finding,
      function interpolation and integration. | 
| org.apache.commons.math3.analysis.differentiation | 
   This package holds the main interfaces and basic building block classes
   dealing with differentiation. | 
| org.apache.commons.math3.analysis.function | 
      The  functionpackage contains function objects that wrap the
      methods contained inMath, as well as common
      mathematical functions such as the gaussian and sinc functions. | 
| org.apache.commons.math3.analysis.interpolation | Univariate real functions interpolation algorithms. | 
| org.apache.commons.math3.analysis.polynomials | Univariate real polynomials implementations, seen as differentiable
     univariate real functions. | 
| org.apache.commons.math3.analysis.solvers | Root finding algorithms, for univariate real functions. | 
| org.apache.commons.math3.optimization.general | This package provides optimization algorithms that require derivatives. | 
| Class and Description | 
|---|
| MultivariateDifferentiableFunction Extension of  MultivariateFunctionrepresenting a
 multivariate differentiable real function. | 
| MultivariateDifferentiableVectorFunction Extension of  MultivariateVectorFunctionrepresenting a
 multivariate differentiable vectorial function. | 
| UnivariateDifferentiableFunction Interface for univariate functions derivatives. | 
| Class and Description | 
|---|
| DerivativeStructure Class representing both the value and the differentials of a function. | 
| DSCompiler Class holding "compiled" computation rules for derivative structures. | 
| MultivariateDifferentiableFunction Extension of  MultivariateFunctionrepresenting a
 multivariate differentiable real function. | 
| MultivariateDifferentiableVectorFunction Extension of  MultivariateVectorFunctionrepresenting a
 multivariate differentiable vectorial function. | 
| SparseGradient First derivative computation with large number of variables. | 
| UnivariateDifferentiableFunction Interface for univariate functions derivatives. | 
| UnivariateDifferentiableMatrixFunction Extension of  UnivariateMatrixFunctionrepresenting a univariate differentiable matrix function. | 
| UnivariateDifferentiableVectorFunction Extension of  UnivariateVectorFunctionrepresenting a univariate differentiable vectorial function. | 
| UnivariateFunctionDifferentiator Interface defining the function differentiation operation. | 
| UnivariateMatrixFunctionDifferentiator Interface defining the function differentiation operation. | 
| UnivariateVectorFunctionDifferentiator Interface defining the function differentiation operation. | 
| Class and Description | 
|---|
| DerivativeStructure Class representing both the value and the differentials of a function. | 
| UnivariateDifferentiableFunction Interface for univariate functions derivatives. | 
| Class and Description | 
|---|
| DerivativeStructure Class representing both the value and the differentials of a function. | 
| UnivariateDifferentiableVectorFunction Extension of  UnivariateVectorFunctionrepresenting a univariate differentiable vectorial function. | 
| Class and Description | 
|---|
| DerivativeStructure Class representing both the value and the differentials of a function. | 
| UnivariateDifferentiableFunction Interface for univariate functions derivatives. | 
| Class and Description | 
|---|
| DerivativeStructure Class representing both the value and the differentials of a function. | 
| UnivariateDifferentiableFunction Interface for univariate functions derivatives. | 
| Class and Description | 
|---|
| MultivariateDifferentiableFunction Extension of  MultivariateFunctionrepresenting a
 multivariate differentiable real function. | 
| MultivariateDifferentiableVectorFunction Extension of  MultivariateVectorFunctionrepresenting a
 multivariate differentiable vectorial function. | 
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