Online College Courses for Credit

Estimating derivatives using data

Estimating derivatives using data

Author: Keely Baker

The student will study a table of data from a function and determine the approximate rate of change at a point.

Using the information given in a table, we can estimate the instantaneous rate of change at a point by using the slope formula learned in Algebra.  This is because the slope of a function is the average rate of change and at some point on a continuous interval, the average rate of change is equal to the instantaneous rate of change.

See More

Average rate of change versus Instantaneous rate of change

This video shows how to find average rates of change.

Source: Sanfordflipmath AP Calculus

Finding derivatives using data from a table


Source: Nancy Stephenson, AP Calculus Conference, SMU at Plano, TX