1. Logistic in Mathematica

2. Enter data

3. ListPlot – shows the slow-fast-slow change behavior of Logistic

4. Define a parameterized Logistic function and plot it

5. Use FindFit to determine the fit parameters, plot the function with the resulting parameters

6. Use Show to put data and fit together

7. Let Mathematica take the derivative

8. Plot the derivative – the derivative (slope, change) is small, then large, the small again

9. Take the second derivative (to help find the inflection point – where it is changing most rapidly)

10. Use NSolve to set the second derivative to zero and find the inflection point.