This activity engages the students in using their graphing
calculator to understand the definition of a derivative of a function at a point. Using table values for the function, and the formula for the derivative of the function at a point, students write the value of the derivative. The table values show students values of the difference quotient as x approaches a certain number. Students also view a graph of the difference quotient to determine the limit of the difference quotient.
After using this activity, students should learn to find derivatives analytically or algebraically.