The Logistic Function
by Mike Martin

On this page, you can vary the parameters in the logistic function. Once the parameters are set you can plot the function and its first and second derivatives. Submit real values for all of the parameters. Use at your own risk as some parameter values may produce erroneous graphs, but parameters consistent with the literature will work. The logistic function can be obtained (with some manipulation) as the solution to the logistic differential equation.

The logistic function may be written as

Enter in the value of the parameters c, k, and select the plotting bounds, then press the "Evaluate" button.

c =  

k =  

  ≤   t   ≤  


MathWorld's Logistic Function

Wikipedia's Logistic Function