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Logistic in Mathematica. Enter data. ListPlot – shows the slow-fast-slow change behavior of Logistic. Define a parameterized Logistic function and plot it. Use FindFit to determine the fit parameters, plot the function with the resulting parameters. Use Show to put data and fit together.
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ListPlot – shows the slow-fast-slow change behavior of Logistic
Use FindFit to determine the fit parameters, plot the function with the resulting parameters
Plot the derivative – the derivative (slope, change) is small, then large, the small again
Take the second derivative (to help find the inflection point – where it is changing most rapidly)
Use NSolve to set the second derivative to zero and find the inflection point.