Birthdays are a time for celebration, and now they're a time for calculation! An AP calculus lesson uniquely explores relationships between a polynomial function and its derivative. Learners create a cubic function based...

Class members blend their knowledge of functions and problem-solving skills to provide business advice to the Turbo Blender manufacturers. Through a project-based approach, learners examine marginal cost data to produce a function....

It's shark week! In this problem, young mathematically minded marine biologists need to study the fish population by analyzing data over time. The emphasis is on understanding the average rate of change of the population and drawing...

This site explains how the derivative of an exponential function is found.

Here is a site that clearly and thoroughly explains how to find the derivative of each of the six trigonometric functions. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point...

Here is a site that clearly and thoroughly explains how to find the derivative of exponential and logarithmic functions. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point...

Students learn how to compute the derivative of logarithmic and exponential functions. The tutorial explores the calculus concepts through notes and examples. Review exercises and a topic summary are included.

Students learn how to compute the derivative using the power, sums, and constant multiples rules. Topics include differential notation and negative exponents. The tutorial explores the calculus concepts through notes and examples.

Here is a site that clearly and thoroughly explains how to find the derivatives of the six inverse trigonometric functions. There are example problems solved, problems for the student to attempt, and answers to the student problems....

The interactive tutorial explores the graph of the derivative of sin (x).

Shows how to find absolute extrema using the first derivative test.

This lesson does a nice job of clarifying what it means to find a derivative. The lesson gives an algebraic method for finding the derivative using limits and offers a geometric interpretation of the derivative.

Nice comprehensive site dealing with the derivative. The site contains derivatives of basic fundamental functions. The site goes on to give unexplained rules when taking simple derivatives. These rules have links for further explanations.

The tutorial explores the derivatives of inverse functions. Examples and practice exercises with solutions are included.

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

Learners examine derivatives. Topics investigated are product rule, chain rule, derivatives of trigonometric functions, the definition of the derivative, and related rates. Class notes, definitions, and examples with detailed solutions...

In this Derive activity, students investigate the Fundamental Theorem of Calculus and explore examples of Riemann Sums for approximating the Definite Integral: the Midpoint Sum, the Left Hand Endpoint Sum, the Right Hand Endpoint Sum,...

This is a set of problems involving the concepts of derivatives. The problems are similar to those encountered during the second quarter of a typical calculus course.

The interactive tutorial investigates the graph of the derivative of tan (x).

A good worksheet for students to practice their first derivative skills. Allows you to check your answers by clicking the "solution" box.

Here is a site that clearly and thoroughly explains the concept of derivative from the definition. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this site out to...

Learn from other student's mistakes by reviewing the following Calculus topics: limits, the power rule, derivatives, the sum rule, the product rule, the quotient rule, the chain rule, implicit differentiation, indefinite integrals,...

An excellent tutorial explaining concavity and the second derivative test, including a labeled diagram, examples, and links to a quiz.

The interactive applet examines the graphical interpretation of the derivative of a function based on the difference quotient.