AP Calculus: Derivatives of Inverse Functions Complete Lesson

AP Calculus: Derivatives of Inverse Functions Complete Lesson
AP Calculus: Derivatives of Inverse Functions Complete Lesson
AP Calculus: Derivatives of Inverse Functions Complete Lesson
AP Calculus: Derivatives of Inverse Functions Complete Lesson
AP Calculus: Derivatives of Inverse Functions Complete Lesson
AP Calculus: Derivatives of Inverse Functions Complete Lesson
AP Calculus: Derivatives of Inverse Functions Complete Lesson
AP Calculus: Derivatives of Inverse Functions Complete Lesson
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(8 MB|44 pages)
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  1. This bundle includes seven lessons which make up Unit 4: Techniques of Differentiation. These lessons are appropriate for AP Calculus AB, AP Calculus BC, or college calculus.Each lesson includes a PowerPoint presentation along with guided notes, a Do Now, an Exit Ticket, and a homework assignment.
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  2. This is a set of resources for a full AP Calculus AB curriculum.Each lesson contains a set of guided notes (with a filled-in version), a set of Powerpoint slides to go along with the notes, a Do Now and an Exit Ticket, and a homework assignment (with solutions).The lessons are broken up into 8 units
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Product Description

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:

-One-to-One Functions

-Inverse Functions

-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:

-The Product and Quotient Rules

-Derivatives of Trigonometric Functions

-The Chain Rule

-Implicit Differentiation

-Derivatives of Inverse Functions

-Derivatives of Exponential and Logarithmic Functions

-Inverse Trigonometric Functions

Total Pages
44 pages
Answer Key
Included
Teaching Duration
50 minutes
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