At a Glance - Estimating Derivatives from Tables
We can also estimate the derivative of a function f at a point a if we're given a table of values for f, but not given a formula.
A table is a great way to record what a function does as we let h get smaller and smaller. We can put as many rows into the table as we want to get a better approximations of the derivative, and make better estimates of what that limit may be.
Check out the examples and exercises to learn how.