How to recognize discontinuity of slope in numerical data
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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.
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/735394/image.png)
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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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