JuliaDiff

Forward Mode Automatic Differentiation for Julia

An interface to various automatic differentiation backends in Julia.

Fast non-allocating calculations of gradients, Jacobians, and Hessians with sparsity support

The Documenter Theme for the ChainRules family of packages. But you can use it too

A package which provides an API for querying differentiation results at multiple orders simultaneously

Coloring algorithms for sparse Jacobian and Hessian matrices

Taylor polynomial expansions in one and several independent variables.

Reverse Mode Automatic Differentiation for Julia

Taylor-mode automatic differentiation for higher-order derivatives