How to plot derivative and antiderivative of a spline
Suppose I have a spline like that:
from sage.gsl.all import spline values = [(-3,-2),(-2,0),(1,2),(3,1),(4,5)] interpolation = spline(values) plot(interpolation,(-3,5)) + list_plot(values)
What's the easiest way to plot the derivative and the antiderivative functions of the spline?
Note that I want just the plot, not a symbolic expression of both, so numerical methods should apply. However getting a symbolic expression would be the best.
How can I find maxima, minima and roots of the spline? Numerically would be good enough.