Activity
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: The Derivative: The Derivative Function

For Students 9th - 10th
Students learn about the derivative function. The tutorial explores the calculus concept through notes and examples.
Activity
Wolfram Research

Wolfram Math World: Derivative of a Function

For Students 9th - 10th
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.
Activity
Texas Instruments

Texas Instruments: Derivative Formulas

For Teachers 9th - 10th
Students use StudyCards(tm) to complete derivative functions.
Handout
Northeast Parallel Architectures Center, Syracuse University

Npac Reu Program: Tangent Lines and the Derivative

For Students 9th - 10th
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.
Activity
Mathematics Archives

Math Archives: Visual Calculus: Derivative of Exponential Function

For Students 9th - 10th Standards
This site explains how the derivative of an exponential function is found.
Handout
Math Medics

S.o.s. Math: The Derivative

For Students 9th - 10th Standards
Very nice lesson on taking the derivative of a function and its inverse.
Unknown Type
Khan Academy

Khan Academy: Analyzing the Second Derivative to Find Inflection Points

For Students 11th
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.
Activity
Analyze Math

Analyze Math: Derivative of Tan(x)

For Students 9th - 10th
The interactive tutorial investigates the graph of the derivative of tan (x).
Activity
Analyze Math

Analyze Math: Derivative of Sin (X)

For Students 9th - 10th
The interactive tutorial explores the graph of the derivative of sin (x).
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Discrete and Continuous Functions

For Students 9th - 10th
[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...
Unknown Type
Khan Academy

Khan Academy: Analyze Functions (Calculator Active)

For Students 11th
Analyze the behavior of graphs of functions using a graphing calculator and your knowledge about derivatives.
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Rational Function Limits

For Students 11th - 12th
[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...
Activity
Texas Instruments

Texas Instruments: Functions and Their Extrema

For Teachers 9th - 10th
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...
Activity
Texas Instruments

Texas Instruments: Relation Between Graph of a Function and Graph of Derivative

For Teachers 9th - 10th Standards
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...
Activity
Texas Instruments

Texas Instruments: Investigating the Derivatives of Some Common Functions

For Teachers 9th - 10th
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...
Activity
Texas Instruments

Texas Instruments: Graph of Functions and Their Derivatives

For Teachers 9th - 10th Standards
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...
Activity
Paul Dawkins

Paul's Online Notes: Calculus I: Derivatives

For Students 9th - 10th
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...
Activity
Analyze Math

Analyze Math: Differentiation of Trigonometric Functions

For Students 9th - 10th Standards
Learners examine the formulas of the derivatives of trigonometric functions. Examples with detailed solutions are included.
Activity
Lawrence Hall of Science

The Math Page: An Approach to Calculus: Derivatives of Inverse Trig Fx

For Students 9th - 10th
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....
Activity
Analyze Math

Analyze Math: Derivative of Inverse Function

For Students 9th - 10th Standards
The tutorial explores the derivatives of inverse functions. Examples and practice exercises with solutions are included.
Activity
Texas Instruments

Texas Instruments: Using Derive

For Teachers 9th - 10th Standards
In this activity, students use the Derive software to solve trigonometric equations, expressions with exponentials, and log equations. They also determine the equation of tangent and normal of a function; evaluate integrals, find area...
Activity
Analyze Math

Analyze Math: Differentiation of Exponential Functions

For Students 9th - 10th Standards
Learners examine the derivatives of exponential functions. The tutorial consists of examples and practice problems with solutions.
Activity
Texas Instruments

Texas Instruments: Derivatives (Trig Functions)

For Teachers 9th - 10th
This learning check activity will test the students knowledge of the derivatives of the 6 trigonometric functions.
Unit Plan
CK-12 Foundation

Ck 12: Analysis: Quotient Rule and Higher Derivatives

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] In the lesson students study the derivatives of rational functions and higher derivatives of polynomial functions. Students examine guided notes, review guided...