NAME

        Math::Derivative - Numeric 1st and 2nd order differentiation

SYNOPSIS

           use Math::Derivative qw(Derivative1 Derivative2);

           @dydx = Derivative1(\@x, \@y);
           @d2ydx2 = Derivative2(\@x, \@y);
           @d2ydx2 = Derivative2(\@x, \@y, $yp0, $ypn);

DESCRIPTION

       This Perl package exports functions for performing numerical first (Derivative1) and
       second Derivative2) order differentiation on vectors of data.

   FUNCTIONS
       The functions must be imported by name.

       Derivative1()

       Take the references to two arrays containing the x and y ordinates of the data, and return
       an array of the 1st derivative at the given x ordinates.

       Derivative2()

       Take references to two arrays containing the x and y ordinates of the data and return an
       array of the 2nd derivative at the given x ordinates.

       You may optionally give values to use as the first dervivatives at the start and end
       points of the data. If you don't, first derivative values will be calculated from the
       arrays for you.

AUTHOR

       John A.R. Williams J.A.R.Williams@aston.ac.uk John M. Gamble jgamble@cpan.org (current
       maintainer)