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Thread: Nth derivative

  1. #1
    MHF Contributor Mathstud28's Avatar
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    Nth derivative

    is there any other way of computing the nth deriviative of $\displaystyle f(g(x))$ besides Faa di Bruno's formula?
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  2. #2
    Moo
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    A Cute Angle Moo's Avatar
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    Hello,

    As far as i can see, i find Faa di Bruno's formula indigest
    Especially because it's just an interpretation of the general chain rule... So his would be the one you have to use.
    D'you have a particular function you want to get the nth derivative ?
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  3. #3
    GAMMA Mathematics
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    As Moo said, the rule is just offspring of the all mighty Chain Rule.
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  4. #4
    MHF Contributor Mathstud28's Avatar
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    No

    it just came up in a "proof" of sorts and I needed a good substitution for $\displaystyle f(g(x))^{(n)}$
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  5. #5
    Moo
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    This is certainly not a good substitution... I mean if you're doing an exercise, you will generally be asked to find an iteration relation
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  6. #6
    MHF Contributor Mathstud28's Avatar
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    Yeah

    that is why I am seeking a good alternative to Bruno's formula
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