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Finding the highest and lowest rates of increase at specific x value across several time series in R

I'm currently having a bit of difficultly following. Rather than using your actual data, perhaps you could include code to generate a smaller dataset with the same structure with clear definitions of what is contained within each (r faq - How to make a great R reproducible example - Stack Overflow<https://stackoverflow.com/questions/5963269/how-to-make-a-great-r-reproducible-example>). You can design that dataset to be small with a known answer and the describe how you got to that answer and then others could help determine some code to accomplish that task.

Best Regards,
Alex