How to recognize discontinuity of slope in numerical data

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Saeid
Saeid 2021-9-11
评论： Saeid 2021-9-11
I am dealing with a set of data that, when plotted, shows a breaking point as shown in circles. How can I identify these points in the data without needing to plot them every time? I tried looking for discontinuity in the sllope, but that did not help.

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Walter Roberson
Walter Roberson 2021-9-11
Take the second derivative --
d2y = gradient(x,gradient(x,y))
Look for the spot where the second derivative changes from negative to positive.

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