Read about the near-simultaneous discovery of Calculus by Liebniz and Newton, then see some examples worked through of finding derivatives of functions using the limit definition of derivative. Following the examples are exercises with...

This activity involves some of the prerequisites of calculus relating to functions and equations. It also contains an application of differentiation. (Continued. See "before the activity.")

This Computer Algebra System (CAS) activity encourages students to investigate the various functions and applications of the CAS calculator. They study and practice various types of problems in algebra and calculus with the help of the...

In this activity, students will investigate the derivatives of sine, cosine, natural log, and natural exponential functions by examining the symmetric difference quotient at many points. They develop the idea of the derivative as a...

This learning check activity will test the students knowledge of the derivatives of the 6 trigonometric functions.

In this activity, the students can use limits to find derivatives and to find the relationship between radii and area. This activity uses tree growth as the basis for the activity.

This Computer Algebra System (CAS) activity encourages students to investigate the use of CAS to solve functions using derivatives and appropriate formulas.

Here is a site that clearly and thoroughly explains how to solve applied max/min problems using the first derivative. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this...

In this Derive activity, students apply the concept of definite integration and decide when a farmer should plant and harvest a crop of clover.

The following problems are maximum/minimum optimization problems. They illustrate one of the most important applications of the first derivative.

Business applications of derivatives are widely used. Marginal revenue, cost, and profit functions that you can find by taking the respective derivatives of revenue, cost, or profit would provide very valuable information to a business....

In this lesson, you learn how to apply the concepts of maxima and minima to any formula that is generated by business, economics, physics, etc. It is one of the most important applications of derivatives and will show up on your AP...

Sample problems that provide ideas about using SMG to assist students in learning to solve derivative problems. Prerequisites: ability to classify functions as power, exponential, product, and composition and how to decompose composite...

Students use StudyCards(tm) to complete derivative functions.

In this activity, students use the calculator to visualize a function using the equation describing its derivative and a single point on the function. They start with simple equations and later solve more complex and difficult...

In this activity, students use the calculator to find numerical solution for a function given its derivative and a point on the function.

A complete reference guide to derivative functions. It provides definitions, examples, and an interactive activity that enhances further explanation. Includes links to related topics.

Students will be lead to discover the relationship between the graph of a function, graph of first derivative, and graph of the second derivative using TI-InterActive!.

In this activity, students discover the derivative of sin(x) and cos(x) by analyzing a scatter plot of x-values and the function's numerical derivatives at these x-values.

This activity introduces the concept of related rates with parametric equations using a projectile motion problem.

This article analyzes problems requiring to allocate a set of rectangular items to larger rectangular standardized units by minimizing the waste. It discusses mathematical models and surveys lower bounds, classical approximation...

This page from MathWorld.com gives a good explanation of the Law of Cosines, which relates the lengths of the legs of a triangle to the angles. This site shows how the formula is derived, along with a triangle to clarify variables. Also...

The derivative is applied to real world applications of velocity in an example using "h" notation and limits.

The product and quotients rules for derivatives are presented. Several examples are provided to allow practice for applying the rules to finding the derivatives to functions.