Efficiently computes derivatives of NumPy code.

Gorgonia is a library that helps facilitate machine learning in Go.

Math.NET Numerics

automatic differentiation made easier for C++

Open-source cross-platform symbolic algebra library for C# and F#. Can be used for both production and research purposes.

Transparent calculations with uncertainties on the quantities involved (aka "error propagation"); calculation of derivatives.

a symbolic math expression evaluator for javascript

clad -- automatic differentiation for C/C++

Single cell trajectory detection

An interface to various automatic differentiation backends in Julia.

Source Code Generation for Automatic Differentiation using Operator Overloading

A simple cross platform .NET API for Intel MKL

FastAD is a C++ implementation of automatic differentiation both forward and reverse mode.

Deep.Net machine learning framework for F#

Modern Fortran Numerical Differentiation Library

➗ Library for parsing math expressions with rational numbers, finding their derivatives and compiling an optimal IL code

Optimal numerical differentiation of noisy time series data in python.

xFunc provides a powerful parser and analyzer for mathematical expressions. It excels at calculating derivatives, simplifying expressions, and achieving high performance.

Backpropagate derivatives through the Cholesky decomposition

Numerical derivatives for Python