For both the 2-(acetyloxy) benzoic acid and the acetic acid, which endpoint determination method will give the most reliable endpoint? and Why is this method most reliable ?

Question

Please explain in detail

Answer 1

endpoint methods are

Bisection
First derivative
Second derivative

Answer 2

My personal opinion is that the second derivative method is best. The bisection method, in my opinion, loses some of its preciseness because the flat parts of the graph are not parallel to each other which leads to not being exactly where the end point is. The first derivative is not much better, in my opinion, because the intersection of the two lines at the end point changes with how well the lines leading up to and leaving the end point are drawn. The second derivative leaves little down EXACTLY where it crosses the "zero" line.
Frankly, I don't like any of the methods. I prefer to use an indicator for them all although there are some where no good indicator is available.
I don't have any data to back any of this up; just experience. There was one occasion where I used an indicator for an acid/base titration and plotted the data on a graph too. The graphical method and the indicator did not agree on the placement of the end point. But one failure does not alone doom that procedure.