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Detect a single inflection point of the given.

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Hi everyone, I was wondering if someone could help me a little to find the tipping point of that data series automatically, as data can change.
x = [15 14 13 12 11 10 9 8 7 6 5 4 3 2 1];
y = [0 1 0 1 0 0 22 49 201 255 255 255 255 255 255];
The data represented are those shown below
df1 = gradient(y,x)
df2 = gradient(df1,x)
figure
plot(x,df2,'-o','LineWidth',2)
hold on
yline(0);
But now i don't know how to decide which is de correct inflex point of these data.
  • It must be just 1
  • It must be on the given points
  • In this case it has to be or the point (7,201) or (8,49)
I have looked in [1], [2], [3], [4], but i couldn't solve my problem.
Thank you for all.

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Accepted Answer

Gaurav Garg
Gaurav Garg on 23 Jun 2020
Hi,
You can take use of Symbolic Math Toolbox and functions inside it to find the inflection point for your problem.

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