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I''m not a mathematical guy at all. I have the points of a non-linear function and I would love to know if it's possible to find a way (an algorithm or whatever) to calculate the derivative of the function at each point.

Thanks in advance!

EDIT: The function could be something like the black line (it's the sensor data averaged and filtered)

enter image description here

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    Which nonlinear function?2011-10-09
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    It's the data coming from a temperature sensor2011-10-09
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    It might be helpful if you can include a scatter plot of your data...2011-10-09
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    Yikes. I presume the samples are at equally-spaced intervals?2011-10-09
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    The black dot's are the samples of the averaged data so they are equally spaced intervals. The real data is only being saved on change due to space constraints so they are not equally spaced. Anyway I plan to work only with the averaged data.2011-10-09
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    http://www.maplesoft.com/support/help/Maple/view.aspx?path=gfun%2flisttoratpoly2011-10-09
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    @pedja, not sure if I will find a function that can generate a so random values ... what do you think?2011-10-09
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    @SoMoS,"The listtoratpoly(l, x, [typelist]) command computes a rational function in x for the generating function of the expressions in l.",so input is list of points and output is function which best describes graph line.I think that there is no such function that can predict the next random value of the point..because random value is undefined by definition2011-10-09
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    @pedja: no, what I meant is if can happen that the function needed to simulate a certain amount of points like the ones at the chart is so complex that it cannot be calculated in a reasonable amount of time.2011-10-09
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    @SoMoS,maybe you should use "The Steinhart-Hart equation" http://www.facstaff.bucknell.edu/mastascu/elessonshtml/Sensors/TempR.html2011-10-09

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