| C05PBF | Solution of system of nonlinear equations using first derivatives (easy-to-use) |
| C05PCF | Solution of system of nonlinear equations using first derivatives (comprehensive) |
| C05PDF | Solution of system of nonlinear equations using first derivatives (reverse communication) |
| C05ZAF | Check user's routine for calculating first derivatives |
| D04AAF | Numerical differentiation, derivatives up to order 14, function of one real variable |
| E02AGF | Least-squares polynomial fit, values and derivatives may be constrained, arbitrary data points |
| E02BCF | Evaluation of fitted cubic spline, function and derivatives |
| E04DGF | Unconstrained minimum, preconditioned conjugate gradient algorithm, function of several variables using first derivatives (comprehensive) |
| E04GBF | Unconstrained minimum of a sum of squares, combined Gauss–Newton and quasi-Newton algorithm using first derivatives (comprehensive) |
| E04GDF | Unconstrained minimum of a sum of squares, combined Gauss–Newton and modified Newton algorithm using first derivatives (comprehensive) |
| E04GYF | Unconstrained minimum of a sum of squares, combined Gauss–Newton and quasi-Newton algorithm, using first derivatives (easy-to-use) |
| E04GZF | Unconstrained minimum of a sum of squares, combined Gauss–Newton and modified Newton algorithm using first derivatives (easy-to-use) |
| E04HCF | Check user's routine for calculating first derivatives of function |
| E04HDF | Check user's routine for calculating second derivatives of function |
| E04HEF | Unconstrained minimum of a sum of squares, combined Gauss–Newton and modified Newton algorithm, using second derivatives (comprehensive) |
| E04HYF | Unconstrained minimum of a sum of squares, combined Gauss–Newton and modified Newton algorithm, using second derivatives (easy-to-use) |
| E04KDF | Minimum, function of several variables, modified Newton algorithm, simple bounds, using first derivatives (comprehensive) |
| E04KYF | Minimum, function of several variables, quasi-Newton algorithm, simple bounds, using first derivatives (easy-to-use) |
| E04KZF | Minimum, function of several variables, modified Newton algorithm, simple bounds, using first derivatives (easy-to-use) |
| E04LBF | Minimum, function of several variables, modified Newton algorithm, simple bounds, using first and second derivatives (comprehensive) |
| E04LYF | Minimum, function of several variables, modified Newton algorithm, simple bounds, using first and second derivatives (easy-to-use) |
| E04UFF | Minimum, function of several variables, sequential QP method, nonlinear constraints, using function values and optionally first derivatives (reverse communication, comprehensive) |
| E04USF | Minimum of a sum of squares, nonlinear constraints, sequential QP method, using function values and optionally first derivatives (comprehensive) |
| E04WDF | Solves the nonlinear programming (NP) problem |
| E04YAF | Check user's routine for calculating Jacobian of first derivatives |
| E04ZCF | Check user's routine s for calculating first derivatives of function and constraints |
| G02HLF | Calculates a robust estimation of a correlation matrix, user-supplied weight function plus derivatives |
| S14ADF | Scaled derivatives of ψ(x) |