| c05rbc | Solution of a system of nonlinear equations using first derivatives (easy-to-use) |
| c05rcc | Solution of a system of nonlinear equations using first derivatives (comprehensive) |
| c05rdc | Solution of a system of nonlinear equations using first derivatives (reverse communication) |
| c05zdc | Check user's function for calculating first derivatives of a set of nonlinear functions of several variables |
| d04aac | Numerical differentiation, derivatives up to order 14, function of one real variable |
| e01aec | Interpolating functions, polynomial interpolant, data may include derivative values, one variable |
| e01bgc | Evaluation of interpolant computed by e01bec, function and first derivative |
| e02agc | Least squares polynomial fit, values and derivatives may be constrained, arbitrary data points |
| e02ahc | Derivative of fitted polynomial in Chebyshev series form |
| e02bcc | Evaluation of fitted cubic spline, function and derivatives |
| e02dhc | Evaluation of spline surface at mesh of points with derivatives |
| e04bbc | Minimizes a function of one variable, requires first derivatives |
| e04fcc | Unconstrained nonlinear least squares (no derivatives required) |
| e04gbc | Unconstrained nonlinear least squares (first derivatives required) |
| e04hdc | Checks second derivatives of a user-defined function |
| e04jbc | Bound constrained nonlinear minimization (no derivatives required) |
| e04kbc | Bound constrained nonlinear minimization (first derivatives required) |
| e04lbc | Solves bound constrained problems (first and second derivatives required) |
| e04ufc | Minimum, function of several variables, sequential QP method, nonlinear constraints, using function values and optionally first derivatives (reverse communication, comprehensive) |
| e04yac | Least squares derivative checker for use with e04gbc |
| g01rtc | Landau derivative function φ′(λ) |
| g02hlc | Calculates a robust estimation of a correlation matrix, user-supplied weight function plus derivatives |
| s14adc | Scaled derivatives of ψ(x) |
| s14aec | Derivative of the psi function ψ(x) |
| s14afc | Derivative of the psi function ψ(z) |