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Nov 12, 2012 at 19:31 history edited Jens CC BY-SA 3.0
Use ArrayPad instead of Part - looks cleaner.
Nov 12, 2012 at 19:20 comment added Jens @DanielLichtblau If I look at this Wolfram demo, it seems to me that the technique is better classified as a symbolic differentiation trick. But maybe that's a matter of taste. My criterion would be that a numerical differentiation should be able to deal with functions that are calculated by numerical root finding, or using FixedPoint etc. Automatic differentiation requires that the function be calculable using elementary operations.
Nov 12, 2012 at 15:56 comment added Daniel Lichtblau Lettuce knot forget scenario 3, of Automatic Differentiation.
Nov 11, 2012 at 23:00 comment added Jens @acl, yes - and I had upvoted your linked answer back then, too! It's very exhaustive.
Nov 11, 2012 at 22:58 comment added acl Something like N[D[f[x], x] /. x -> 5] also works. There is a difference between ND and D, see here
Nov 11, 2012 at 22:40 history answered Jens CC BY-SA 3.0