| beta | Beta function for dual numbers |
| D | Composable total derivative operator |
| deriv | Extract the derivative (tangent) part of a dual number |
| deriv_n | Extract the k-th derivative from a nested dual result |
| differentiate_n | Compute a function value and all derivatives up to order n |
| dual | Create a dual number |
| dual-arithmetic | Arithmetic and comparison operators for dual numbers |
| dual-atan2 | Two-argument arctangent for dual numbers |
| dual-coerce | Coerce dual to numeric |
| dual-combine | Combine dual numbers into a dual_vector |
| dual_constant | Create a dual constant (derivative seed = 0) |
| dual_constant_n | Create a constant dual for n-th order differentiation |
| dual-is-numeric | Check if a dual number is numeric |
| dual-log | Logarithm with optional base for dual numbers |
| dual-math | Math group generic for dual numbers |
| dual-math2 | Math2 group generic for dual numbers |
| dual-maxmin | Piecewise max and min for dual numbers |
| dualr-class | Dual Number Class for Automatic Differentiation |
| dual-show | Display a dual number |
| dual-summary | Summary group generic for dual numbers |
| dual_variable | Create a dual variable (derivative seed = 1) |
| dual_variable_n | Create a dual seeded for n-th order differentiation |
| dual_vector | Create a vector of dual numbers |
| dual_vector-access | Indexing and length for dual_vector |
| dual_vector-class | Dual Number Vector |
| erf | Error function |
| erfc | Complementary error function |
| gradient | Compute the gradient of a scalar-valued function |
| hessian | Compute the Hessian of a scalar-valued function |
| is_dual | Test whether an object is a dual number |
| jacobian | Compute the Jacobian of a vector-valued function |
| lbeta | Log-beta function for dual numbers |
| nabla-package | nabla: Exact Derivatives via Automatic Differentiation |
| psigamma | Polygamma function for dual numbers |
| value | Extract the value (primal) part of a dual number |
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