Interactive Mathematics
Interactive Mathematics: Powers of a Function
The Chain Rule is presented with a detailed example. It is followed by a demonstration of how the Chain Rule is applied to power functions.
Interactive Mathematics
Interactive Mathematics: More on Curve Sketching
Examples are presented to demonstrate the steps for sketching curves that are not polynomials. Using x- and y-intercepts, limits, domain and range, maxima and minima, second derivatives and general behavior the graphs are constructed...
Interactive Mathematics
Interactive Mathematics: Higher Derivatives
Examples of taking the second derivatives of functions is presented and applied a the real world problem involving acceleration.
Interactive Mathematics
Interactive Mathematics: Derivatives of Polynomials
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.
Interactive Mathematics
Interactive Mathematics: Applications of Derivatives
The derivatives of logarithmic and exponential functions are used in problems dealing with earthquake measurement and air resistance. The problems allow students to see how these derivatives are applied with practice.
Interactive Mathematics
Interactive Mathematics: Derivatives of Exponential Functions
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.
That Quiz
That Quiz: Calculo
This interactive site is a great practice for derivatives and integrals. Ten different levels are provided and you can choose full hint or partial hint.
Department of Defense
Do Dea: Optimization Business Applications
You can apply calculus to the business world! This lesson goes through a number of business applications of derivatives and optimization that are widely used. Explanations and examples are provided. Great review for the AP Calculus test!
Department of Defense
Do Dea: Optimization Examples
Practice types of problems you will see on AP Calculus test that deal with optimization. Formulas and examples are provided.
Department of Defense
Do Dea: Optimization the Basics
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...
Department of Defense
Do Dea: Marginal Cost, Marginal Revenue
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....
Department of Defense
Do Dea: Instantaneous Rates of Change
Prepare for the AP Calculus exam by reviewing the most common relationships that are used in calculus. Formulas and examples are provided.
Interactive Mathematics
Interactive Mathematics: The Derivative
The examples presented here demonstrates finding the derivative of a function using "h" rather than "delta x" notation. Graphs are included as a visual aid.
Interactive Mathematics
Interactive Mathematics: Tangents and Normals
Finding the slopes and equations of the tangent and normal lines of curves is demonstrated using derivatives. Interactive examples are provided.
Interactive Mathematics
Interactive Mathematics: Instantaneous Rate of Change
The derivative is applied to real world applications of velocity in an example using "h" notation and limits.
Interactive Mathematics
Interactive Mathematics: Derivatives of Products and Quotients
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.
Interactive Mathematics
Interactive Mathematics: Curve Sketching
Sketches of functions are drawn by determing important points: x- and y-intercepts, local maxima and minima, and point of inflection. The general shapes of specific functions are illustrated to help identify characteristics of each type...
Interactive Mathematics
Interactive Mathematics: Derivatives of Logarithmic Functions
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.
Wolfram Research
Wolfram Math World: Power Rule
MathWorld offers a definition of the power rule when taking derivatives of single variable terms. Contains a definition, formula, and links to related terms.
Northeast Parallel Architectures Center, Syracuse University
Npac Reu Program: L'hopital's Rule
This Northeast Parallel Architectures Center at Syracuse University site explores the use of L'Hopital's Rule on derivatives to find limits.
Other
Taro: An Application of the Derivative
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...