Man pages for nabla
Exact Derivatives via Automatic Differentiation

betaBeta function for dual numbers
DComposable total derivative operator
derivExtract the derivative (tangent) part of a dual number
deriv_nExtract the k-th derivative from a nested dual result
differentiate_nCompute a function value and all derivatives up to order n
dualCreate a dual number
dual-arithmeticArithmetic and comparison operators for dual numbers
dual-atan2Two-argument arctangent for dual numbers
dual-coerceCoerce dual to numeric
dual-combineCombine dual numbers into a dual_vector
dual_constantCreate a dual constant (derivative seed = 0)
dual_constant_nCreate a constant dual for n-th order differentiation
dual-is-numericCheck if a dual number is numeric
dual-logLogarithm with optional base for dual numbers
dual-mathMath group generic for dual numbers
dual-math2Math2 group generic for dual numbers
dual-maxminPiecewise max and min for dual numbers
dualr-classDual Number Class for Automatic Differentiation
dual-showDisplay a dual number
dual-summarySummary group generic for dual numbers
dual_variableCreate a dual variable (derivative seed = 1)
dual_variable_nCreate a dual seeded for n-th order differentiation
dual_vectorCreate a vector of dual numbers
dual_vector-accessIndexing and length for dual_vector
dual_vector-classDual Number Vector
erfError function
erfcComplementary error function
gradientCompute the gradient of a scalar-valued function
hessianCompute the Hessian of a scalar-valued function
is_dualTest whether an object is a dual number
jacobianCompute the Jacobian of a vector-valued function
lbetaLog-beta function for dual numbers
nabla-packagenabla: Exact Derivatives via Automatic Differentiation
psigammaPolygamma function for dual numbers
valueExtract the value (primal) part of a dual number
nabla documentation built on Feb. 11, 2026, 1:06 a.m.