Local Linearity, Differentiability, and Limits of Difference Quotients
This Local Linearity, Differentiability, and Limits of Difference Quotients lesson plan also includes:
- Join to access all included materials
Students explore the local linearity of several functions at different points. They investigate the local linearity given a function and a point and then connect that notion with the function's differentiability at that point.
3 Views 5 Downloads
Comparing Linear and Exponential Models Again
Making connections between a function, table, graph, and context is an essential skill in mathematics. Focused on comparing linear and exponential relationships in all these aspects, this resource equips pupils to recognize and interpret...
9th - 10th Math CCSS: Designed
Wishful Thinking—Does Linearity Hold? (Part 2)
Trying to find a linear transformation is like finding a needle in a haystack. The second lesson in the series of 32 continues to explore the concept of linearity started in the first lesson. The class explores trigonometric, rational,...
11th - 12th Math CCSS: Designed
Multiple Representations of Limits
After an introductory activity to demonstrate the theory of a limit, additional activities approach a limit from graphical, numerical, and algebraic methods. The activity looks at the multiple ways of understanding and evaluating a limit.
11th - 12th Math CCSS: Adaptable
How to Calculate the Difference Quotient
The difference quotient looks worse than it is. Determining the difference quotient is the first step in finding the derivative using the definition. The second segment in a series of 31 works through an example of simplifying the...
4 mins 11th - Higher Ed Math
Definition of the Derivative to Find the Derivative
Serve up the definition of the derivative two ways. Video three in a series of 31 begins with making the distinction between the difference quotient and the definition of the derivative. The presentation shows two ways the definition is...
12 mins 11th - Higher Ed Math