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    vbuggy krtxmrtz's Avatar
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    Re: maclaurins theorem

    Quote Originally Posted by watford73
    ...
    We have to show how we differentiate it for f `, f `` etc..
    i.e f `=, f``=
    ...
    We then have to put it into a polynominal to recheck our results,I hope this means something to someone out there!!
    THANKS FOR YOUR TIME!!
    Welcome the the forums!

    So that's 2 questions, how you calculate the derivatives of f for various orders and then use them to build the polynome. Do you need any help with the former? Once you've got the derivatives all you have to do is apply McLaurin's formula:

    f(x) = f(0)*x0 / 0! + f'(0)*x1 / 1! + f''(0)*x2 / 2!

    there are more terms but that's enough for second order.

    In your case you have to use h instead of x, I assume k is a constant.
    Last edited by krtxmrtz; Dec 4th, 2007 at 08:30 AM.
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