This lesson begins with a review of inverse functions. The notion of one-to-one functions is introduced and then inverse functions are explored both graphically and algebraically. Finally, students learn how to find the derivatives of inverse functions.
This lesson is appropriate for both AP Calculus AB and BC.
Detailed answer keys are included.
The topics covered include:
-Cancellation Equations for Inverse Functions
-Domain and Range of Inverse Functions
-Finding Inverse Functions
-Graphing Inverse Functions
-Continuity of Inverse Functions
-Differentiability of Inverse Functions
-Practice with Inverse Functions
In this product, you will find the following:
-Powerpoint Presentation (29 slides)
-Guided Notes (4 pages, a "filled in" copy is also included)
-Do Now Slips (4 slips on one page, answers included)
-Exit Ticket Slips (4 slips on one page, answers included)
-Homework Assignment (2 pages, a detailed answer key is included)
This lesson is part of a larger unit on Techniques of Differentiation. The complete unit includes the following:
-Derivatives of Inverse Functions