n th order derivative using forward difference

How can I calculate n th order derivative of f: R->R using forward difference formula?

Answer 1

[Torsten]

Recursively:

https://ipfs.io/ipfs/QmXoypizjW3WknFiJnKLwHCnL72vedxjQkDDP1mXWo6uco/wiki/Difference_quotient.html

Best wishes

Torsten.

Answer 2

[Jan]

Is this a homework? Then please mention this explicitly, because this requires a different kind of answering.

Did you read the general formula already? https://en.wikipedia.org/wiki/Finite_difference, see "Higher order differences". This is not hard to implement. If you have problems with the code, please post, what you have tried so far and ask a specific question. Note: Use https://www.mathworks.com/help/matlab/ref/nchoosek.html nchoosek to calculate "n over k".