Generating functions and plotting them with different colors
Let's say I have the logistic function
f(x) = a / (1 + b*e^(-(x-c)/d))
a, the value will likely not change, it stays fixed at 1.
b will remain in the meanwhile at
0.2, but I would like to plot all other variants of the function for x in the interval
0, 21 for different values of
d in different colors (like color lerp).
Like, for all combinations of
How to achieve this in sage 5.2 and python? I've tried simply using a python function that returns a "sage function" but it doesn't work.