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Math Open Reference
Math Open Reference: Derivative 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.
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.
Wolfram Research
Wolfram Math World: Derivative of a Function
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.
Texas Instruments
Texas Instruments: Derivative Formulas
Students use StudyCards(tm) to complete derivative functions.
Shodor Education Foundation
Shodor Interactivate: Derivate
View the graph and the equation of the line tangent to any function at any point on the function.
Northeast Parallel Architectures Center, Syracuse University
Npac Reu Program: Tangent Lines and the Derivative
The Northeast Parallel Architectures Center of Syracuse University provides a comprehensive site dealing with the tangent and the derivative. Provides table of contents which leads to different related topics.
Mathematics Archives
Math Archives: Visual Calculus: Derivative of Exponential Function
This site explains how the derivative of an exponential function is found.
Johan Claeys
Math Abundance: Hyperbolic Functions and Inverses
Site has information and examples for topics about hyperbolic functions and inverses.
Math Medics
S.o.s. Math: The Derivative
Very nice lesson on taking the derivative of a function and its inverse.
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.
Analyze Math
Analyze Math: Derivative of Tan(x)
The interactive tutorial investigates the graph of the derivative of tan (x).
Analyze Math
Analyze Math: Derivative of Sin (X)
The interactive tutorial explores the graph of the derivative of sin (x).
Shodor Education Foundation
Shodor Interactivate: Derivate
Explores derivatives and the idea of infinity using a geometric interpretation of slope.
CK-12 Foundation
Ck 12: Analysis: Discrete and Continuous Functions
[Free Registration/Login may be required to access all resource tools.] In this lesson students learn the difference between discrete and non-discrete functions. Students examine guided notes, review guided practice, watch instructional...
Khan Academy
Khan Academy: Analyze Functions (Calculator Active)
Analyze the behavior of graphs of functions using a graphing calculator and your knowledge about derivatives.
CK-12 Foundation
Ck 12: Analysis: Rational Function Limits
[Free Registration/Login may be required to access all resource tools.] In this lesson students find the limits of rational functions algebraically. Students examine guided notes, review guided practice, watch instructional videos and...
Math Open Reference
Math Open Reference: Power Functions
Gain an understanding of power functions with this helpful reference tool. Provides a detailed definition and examples that enhance further explanation. Includes links to related topics.
Texas Instruments
Texas Instruments: Functions and Their Extrema
Model the trajectory of the longest home run ever hit while studying extrema of functions on the TI-89. Another real-world problem in this activity involves minimizing the amount of tin used in a cylindrical tank. Following the worked...
Texas Instruments
Texas Instruments: Relation Between Graph of a Function and Graph of Derivative
In this Derive activity, students relate the behavior of the graph of an exponential function to the signs of its first two derivatives. They realize that if the signs of the first two derivatives over a given interval are known, a...
Texas Instruments
Texas Instruments: Investigating the Derivatives of Some Common Functions
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...
Texas Instruments
Texas Instruments: Graph of Functions and Their Derivatives
In this activity, students observe the derivative as an indicator of increasing/decreasing function behavior. They also see that the derivative is an indicator of local maxima/ minima function behavior. Students learn to associate the...
Paul Dawkins
Paul's Online Notes: Calculus I: Derivatives
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...
Analyze Math
Analyze Math: Differentiation of Trigonometric Functions
Learners examine the formulas of the derivatives of trigonometric functions. Examples with detailed solutions are included.
Lawrence Hall of Science
The Math Page: An Approach to Calculus: Derivatives of Inverse Trig Fx
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....