Derivatives Teacher Resources
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L'Hopital's Rule Example 2
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 Lï¿½Hopitalï¿½s Rule and then by using the factoring method to solve for the limit algebraically.
5 mins 11th - Higher Ed Math 3 Views 0 Downloads
Applications of Derivatives
Students investigate the absolute maximum of a function. In this absolute value of a function activity, students find the absolute maximum and minimum of a function on a closed interval of 1 to 4. Students find the derivative of the function and set it equal to zero to find possible absolute maximums and minimums.
11th - 12th Math 3 Views 14 Downloads
Using a "Natural Function" not a equation to discuss derivatives
In this derivative worksheet, students relate the concept of the derivative to the "real world" model of seasons. Students are then asked to discuss zeros, increasing values, decreasing values, and critical values of this model. Solutions are provided throughout the worksheet.
12th - Higher Ed Math 3 Views 9 Downloads
Functions & Derivatives
In this functions and derivatives worksheet, students write an equation of a line tangent to a given function. They list the x-coordinate of the critical point, determine the relative minimum, relative maximum and identify functions. This two-page worksheet contains four multi-step problems.
11th - Higher Ed Math 3 Views 10 Downloads
Introduction to Differentiation
In this introduction to differentiation worksheet, students solve and complete 10 various types of problems. First, they use the definition of differentiation to evaluate the derivative of the functions listed. Then, students sketch the function and label the y-intercepts and the stationary points.
11th - Higher Ed Math 9 Views 47 Downloads
The Growth Rings of a Tree
Students explore the concept of derivatives. In this derivatives lesson, students use limits and derivatives to determine the area of rings on a tree. Students use the radii and derivatives of the tree rings to determine the area of each tree ring.
11th - 12th Math 3 Views 22 Downloads
Boxing It Up
Students construct a box with maximum volume. In this constructing a box with maximum volume instructional activity, students use a piece of copier paper to build a box with maximum volume. Students apply their knowledge of related rates to find the max.
11th - 12th Math 3 Views 6 Downloads
Difference of Equations
For this difference of equations worksheet, students solve and complete 49 various types of problems. First, they obtain the solution of any linear homogeneous second order difference equation. Then, students apply the method of solution to contextual problems.
11th - 12th Math 8 Views 47 Downloads
Worksheet 13-Fall 1995
In this math worksheet, students find the domain and range of trigonometric functions. They estimate the limit of a given function. Students identify three statements about one to one functions as true or false. They solve for k in two functions so that the graphs are tangent to one another at one point.
Higher Ed Math 3 Views 1 Download
Vector and Parametric Models of Projectile Motion
High schoolers explore the vector model of projectile motion and then derive the parametric model from the vector model. Many formulas will be explored and used to solve a real-world situation. The class will be guided through solving a similar problem on the TI-89.
9th - 12th Math 3 Views 33 Downloads
Students study exponential decay and its application to radiocarbon dating. In this exponential decay lesson, students use candy to model the time it takes for something to decay. Students also graph the data they collect and describe using an algebraic formula that gives the age of an object as a function.
10th - 12th Science 12 Views 68 Downloads CCSS: Designed
Twelfth graders investigate derivatives. In this calculus instructional activity, 12th graders use technology to explore the basic derivatives and how to choose the proper formula to use them. The instructional activity requires the use of the TI-89 or Voyage and the appropriate application.
12th Math 3 Views 14 Downloads