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)

perl v5.20.2                                       2015-11-24                              Math::Derivative(3pm)