Several formulas for derivatives are presented, including formulas for constants, powers, products, and sums. Exercises are included that allow you to work the problem before seeing the answer.

The formulas for determining the derivatives of exponential functions are presented in this lesson, along with several examples and exercises. The solutions are hidden to allow students to practice the concept without help.

The formulas for finding the derivatives of logarithmic functions are presented, then demonstrated with several examples. The solutions are hidden to allow students to work the problems without help.

Online notes with examples and solutions.

In Spanish. This interactive unit is intended to show you how to calculate the derivative of a function and the application of the derivative in other sciences.

This activity is an application of differentiation involving related rates. Students set up equations relating the variables and then differentiate them with respect to time to find the rate a distance is changing and an angle is changing.

This activity is an application of differential equations and slope fields. Students first go through the traditional paper and pencil method of solving a differential equation. (Continued. See "before the activity.")

This activity is an application of integration. Students first use the calculator to determine specific numeric results to enable them to understand the dynamics of the problem. (Continued. See "before the activity.")

This is a very nice layout of information relative to Calculus. The page is divided into various topics each containing a quiz over the material, topic summary, review problems, and on line tools to help with the topic. The topics of the...

Students learn about linear approximation. The tutorial consists of examples with detailed solutions.

Intended for the beginning lessons in derivative and function graphs, this activity uses motion detectors and battery operated toy cars to generate constant velocity graphs on a TI-83/84. Then students take a free-wheeling car and roll...

Students first make physical models using paper and scissors to get a grasp of the problem and to determine how to set it up. They then use the CAS of the TI-89 and calculus to determine the dimensions of the box which gives the maximum...

The applications presented here demonstrate how the derivatives of trigonometric functions are used in real world problems.

The resource investigates rates of change using the program STELLA. Discussion questions and exercises are included in the monograph.

The topic summary outlines functions of several variables. Some topics reviewed are partial derivatives, double integrals, real-valued function, and three-dimensional space. The resource consists of definitions, notes, and examples.

This lesson will discover the power rule, and find the formulas for such functions as ln(x),e^x, etc. It uses lists and regression formulas.

This is a somewhat lengthy site discussing applications of the derivative using a trajectory problem as a template for understanding the concept. The page begins by defining a quadratic equation given three distinct points and then...

In this activity, students explore information about a graph based on the first and second derivatives. They learn that a function's derivative is positive when the function increases and negative when the function decreases. They learn...

Learn how the second derivative of a function is used in order to find the function's inflection points. Learn which common mistakes to avoid in the process.

This activity illustrates how the derivative is used to find a solution to an optimization problem.

This activity uses derivatives to determine whether a vehicle of a certain length can traverse sharp curves on a trip up a mountain.

College professor Dan Bach reviews the basic calculus concepts of limits and derivatives. The site includes examples and animated graphs.

This article analyzes the three-dimensional finite bin packing problem (3BP). The 3BP finds many practical applications as it is a simplified version of many real-world problems, e.g. container and pallet loading.

This activity explores the characteristics of the graphs of quadratic, cubic, and quartic functions. The graphing calculator will be used to generate graphs and derivatives of these functions.