Lesson Plans and Worksheets
- Home /
- Teacher Resources /
- Math /
- Calculus /
- Calculus Differentiation /
- Differentiation
Browse by Subject
- Differentiation
Related Topics
Featured Testimonial
I am an enrichment teacher that works with 21 teachers. Using Lesson Planet, I am able to find amazing lesson plans at a moments notice that help to enrich their multiple grade levels. I continue to be astonished by the wealth of lessons and reproducibles.
- Kimberly K.
- Bourbonnais, IL
- 09-08-10
Differentiation Teacher Resources
Find teacher approved Differentiation educational resource ideas and activities
Title
Resource Type
Views
Grade
Rating
Sal shows two different ways of finding the limit of a rational expression where the limit of the polynomial is of an indeterminate form involving infinity. First, he shows how to solve this using L�Hopital�s Rule and then by using the factoring method to solve for the limit algebraically. Note: Practice problems on L�Hopital�s rule are available and can be practiced now or after watching the other example videos.
In this video, Sal starts with an example where the limit is not indeterminate but rather undefined and therefore cannot be solved using L�Hoptial�s rule. He shows how you can rewrite the problem algebraically so that the rule can be applied. Note: Practice problems on L�Hopital�s rule are available.
More complex examples of derivatives are explored in this video. Sal works through examples of finding the derivative that requires using a combination of the product, quotient, and chain rules with trigonometric functions, ln x, and ex.
Sal shows the complex solution to a challenging derivative problem about �normalines�. This is probably beyond the scope of most first year calculus students but might be an interesting problem to show how complex these problems can get. Most of the thorny computations shown utilize techniques learned in algebra, but the notation used and the multifaceted parts of the problem make it quite involved.
Using a specific example, Sal shows how to find the equation of a tangent line to a given function at a specific point. Specifically, he solves the problem of finding the tangent line to the function f(x) = xex at x = 1. This problem provides a review of the product rule, slope-intercept form of a line, and steps for finding the equation of a line. It also, provides a nice visual understanding of the problem by graphing both the original equation and the found tangent line.
Students read an article to explain the reasoning behind theorems. In this calculus lesson plan, students understand the underlying principles of theorems and how it helps them make sense of the problems. They know why they do what they do in AP Calculus.
Greg Kelly puts together another great slide presentation to demonstrate ways to combine derivative rules to evaluate more complicated functions. This pattern is called the chain rule. He shows step by step ways to solve these complicated problems.
Students investigate calculus using the TI Calculator. In this calculus activity, students deepen their understanding of calculus. This activity includes step by step instruction for the TI.
Twelfth graders explore differential equations. In this calculus instructional activity, 12th graders explore Euler’s Methods of solving differential equations. Students use the symbolic capacity of the TI-89 to compare Euler’s Method of numeric solutions to a graphical solution.
In this calculus instructional activity, students solve 10 different problems that include determining the first derivative in each. First, they apply properties of logarithmic functions to expand the right side of each equation. Then, students differentiate both sides with respect to x,using the chain rule on the left side and the product rule on the right. In addition, they multiply both sides by y and substitute.