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# Calculus: Differentiability and Continuity

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3 MB|18 pages
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Product Description
This is the fifth lesson in a thirteen-lesson unit on Differentiation for students enrolled in AP Calculus AB or BC, Calculus Honors, or College Calculus. Every lesson includes
✎ A set of Guided Student Notes
✎ A daily homework assignment
✎ Four forms of a daily homework quiz or exit ticket
✎ Teachers also have the benefit of a fully-editable SMART Board® Lesson for presentation and discussion.

The SMART Board lesson can be used in many ways.
Teachers can display the presentation using the following:
* SMART Board
* Wireless Slate
* SMART Notebook for iPAD® App
* Through the SMART Notebook Express®

Lesson Objective:
* Estimate instantaneous rates of change graphically and numerically
*Use derivatives to provide information about function behavior including increase, decrease, extrema, and rates of change.
*Use the derivative at a point to write and use the equation of a tangent line to a curve at a point
*Use the tangent line to investigate function behavior and function values in a small neighborhood.

The unit includes:
1) Rates of Change and Introduction to Derivatives
2) Tangent Lines and Local Linearity
3) Investigating Slope Graphs
4) The Derivative and Tangent Line
5) Differentiability and Continuity
6) Basic Differentiation Rules
7) Product & Quotient Rules
8) The Chain Rule
9) Symbolic Differentiation With Tables and Graphs
10) Derivatives of Inverse Functions
11) Derivatives of Bases Other Than e
12) Equations of Tangent Lines and Linear Approximations
13) Implicit Differentiation

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Created by Jean Adams , © 2016 Flamingo Math™ , LLC
Total Pages
18 pages
Included
Teaching Duration
45 minutes
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