Math Open Reference
Math Open Reference: Fundamental Theorem of Calculus
Learn about the fundamental theorem of calculus with this helpful reference tool. Provides a detailed definition and examples that enhance further explanation. Includes links to related topics.
Texas Instruments
Texas Instruments: Derivatives
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.
Hofstra University
Hofstra University: Calculus Applied to the Real World
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...
Analyze Math
Analyze Math: Derivative of Tan(x)
The interactive tutorial investigates the graph of the derivative of tan (x).
Mathematics Archives
Math Archives: Visual Calculus: Drill First Derivative Test
A good worksheet for students to practice their first derivative skills. Allows you to check your answers by clicking the "solution" box.
Lawrence Hall of Science
The Math Page: An Approach to Calculus: The Derivative
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...
Other
Math Mistakes: Common Calculus Mistakes
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,...
CK-12 Foundation
Ck 12: Analysis: Constant Derivatives and the Power Rule
[Free Registration/Login may be required to access all resource tools.] In this lesson students learn about the derivatives of constants and the power rule. Students examine guided notes, review guided practice, watch instructional...
CK-12 Foundation
Ck 12: Using the First and Second Derivative Tests
[Free Registration/Login may be required to access all resource tools.] This resource gives a step by step account of how to apply knowledge from First and Second Derivative Tests to sketch graphs of functions. The following table...
Khan Academy
Khan Academy: Analyzing the Second Derivative to Find Inflection Points
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.
University of Colorado
University of Colorado: Ph Et Interactive Simulations: Calculus Grapher
Draw a graph of any function and see graphs of its derivative and integral. Don't forget to use the magnify/demagnify controls on the y-axis to adjust the scale.
Harvey Mudd College
Harvey Mudd College: Concavity and the Second Derivative Test
An excellent tutorial explaining concavity and the second derivative test, including a labeled diagram, examples, and links to a quiz.
Math Is Fun
Math Is Fun: Second Derivative
Second derivative description, examples, and interactive graphing.
Other
Sierra College: Table of Derivatives
This table of derivatives is a useful guide for homework or other studying.
Analyze Math
Analyze Math: First Derivative of a Function
The interactive applet examines the graphical interpretation of the derivative of a function based on the difference quotient.
Analyze Math
Analyze Math: Tables of Derivatives
The resource consists of a table of the common derivatives used in calculus.
Lawrence Hall of Science
The Math Page: An Approach to Calculus: Rules for Derivatives
Here is a site that clearly and thoroughly explains many rules for derivatives and proves or derives them. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this site out...
Other
Karl's Calculus Tutor: Derivative of Inv. Trig Functions
This site provides a general overview of the derivative of inverse trig trunctions. Content includes a proof, exercises, and more.
Lawrence Hall of Science
The Math Page: An Approach to Calculus: More Rules for Derivatives
Here is a site that clearly and thoroughly explains the quotient rule, implicit differentiation, and derivatives of inverse functions. There are example problems solved, problems for the student to attempt, and answers to the student...
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: The Derivative: Numerical Approach
The resource investigates the numerical approach of calculating the derivative. Topics examined are the instantaneous rate of change and the difference quotient. Students learn about the calculus concepts through notes and examples.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: The Derivative: The Derivative Function
Students learn about the derivative function. The tutorial explores the calculus concept through notes and examples.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Quiz: Applications of the Derivative.
The online quiz assesses student comprehension of the calculus concepts. The quiz consists of true/false questions on derivative applications.