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Explicit derivatives

POSTED BY: Andreas Madsen
4 Replies
POSTED BY: Nasser M. Abbasi

That worked! Thank you very much :)

POSTED BY: Andreas Madsen

Thanks for the answer, but unfortunately it will not give the explicit answer for the general case of n - it returns Log^(n)(x) in stead of the actual expression in just n and x..

In case of n=2, it works fine, but that was not my problem..

POSTED BY: Andreas Madsen

Derivative returns derivative function, which you then pass it the variable. So I would do it like this (I am assuming you are trying to define fnm to use for different functions.

G0 = Log;
fnm[fun_, n_] := Derivative[n][fun]

And now to use it

  fnm[G0, 2][x]
  (*-1/x^2*)
  fnm[G0, n][x]
  Derivative[n][Log][x]
   %/.n->3
  (*2/x^3*)
  fnm[Sin, 3][x]  (*etc....*)

If you just write fnm[G0, 2] you'll get -(1/#1^2) &

POSTED BY: Nasser M. Abbasi
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