Top 10 differentiation open source projects

Math.NET Numerics

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

eXpression differentiation in Julia

The original Golang library for single variable differentiation and integration.

Modern Fortran Numerical Differentiation Library

Programming language for symbolic computation with unusual combination of pattern matching features: Tree patterns, associative patterns and expressions embedded in patterns.

clad -- automatic differentiation for C/C++

FractionalCalculus.jl: A Julia package for high performance, fast convergence and high precision numerical fractional calculus computing.

➗ 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.