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I am taking a Numerical Methods course & i had a lecture today when we did an example on the 3-point formula to approximate the 1st derivative of f.

the example included 4 given x's with their images by f. & we had to get all the images for the 1st derivative of f.

so we used one of the two 3-point formulas to get the values for f' for each of the first 3 x's. the last x was left without an attempt to get its f'(x).

So tonight i was wondering about how could I apply the formula to get it & its seems that I can't, after all either of the 3 point formula's requires the values of either the previous & following x or the two values following x. In either cases that's not possible as there's is no value after this particular x.

my question is whether there's some kind of solution to this & if so or not how so ?

P.S. this is Not a HW question but rather a help in my lecture.

Thank you