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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- Apr 6th 2008, 10:41 PMMathstud28Nth derivative
is there any other way of computing the nth deriviative of $\displaystyle f(g(x))$ besides Faa di Bruno's formula?

- Apr 7th 2008, 12:02 AMMoo
Hello,

As far as i can see, i find Faa di Bruno's formula indigest :D

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 ? - Apr 7th 2008, 04:32 AMcolby2152
As Moo said, the rule is just offspring of the all mighty Chain Rule.

- Apr 7th 2008, 08:24 AMMathstud28No
it just came up in a "proof" of sorts and I needed a good substitution for $\displaystyle f(g(x))^{(n)}$

- Apr 7th 2008, 08:37 AMMoo
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 ;)

- Apr 7th 2008, 08:54 AMMathstud28Yeah
that is why I am seeking a good alternative to Bruno's formula