how can one use mathematica get the approximate derivative of {x,y} data points?

*To*: mathgroup at smc.vnet.net*Subject*: [mg124217] how can one use mathematica get the approximate derivative of {x,y} data points?*From*: "Michael B. Heaney" <mheaney at alum.mit.edu>*Date*: Sat, 14 Jan 2012 02:53:28 -0500 (EST)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com

Hi, I have a set of {x,y} data points: {{0.03512, -0.5}, {0.0351181, -0.499}, ... {-0.113972, 0.699}, {-0.115072, 0.7}} These data points look like a function y=f(x) when plotted on the x-y axes. However, I do not know what the function f(x) is. But I need to get the approximate derivative df/dx, as another set of data points. How can one use Mathematica to do this? Thanks, Michael --

**Follow-Ups**:**Re: how can one use mathematica get the approximate derivative of {x,y} data points?***From:*Michael Stern <nycstern@gmail.com>