2. Chainrules.jlforward and reverse mode automatic differentiation primitives for Julia Base + StdLibs
3. Taylorseries.jlA julia package for Taylor polynomial expansions in one and several independent variables.
4. Finitediff.jlFast non-allocating calculations of gradients, Jacobians, and Hessians with sparsity support
8. ChainRulesCore.jlAD-backend agnostic system defining custom forward and reverse mode rules. This is the light weight core to allow you to define rules for your functions in your packages, without depending on any particular AD system.
10. DualNumbers.jlJulia package for representing dual numbers and for performing dual algebra
11. DiffResults.jlA package which provides an API for querying differentiation results at multiple orders simultaneously