Our purpose in this Lesson is to introduce the derivative and to establish the connection with rate of change and with tangency. The Lesson introduces the derivatives of a function and examines their meaning. Expected Study Time You will need two to three hours to go through this Lesson. You may wish to return to the Lesson later for help in completing Practice problems.
Objectives Use the definition of differentiability.
Compare continuity and differentiability. Use the various notations for the derivatives of a function.