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Activity
Lawrence Hall of Science

The Math Page: An Approach to Calculus: Derivatives of Logarithmic and Exponential Functions

For Students 9th - 10th Standards
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...
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Website
Other

Karl's Calculus: Derivatives: The Equation of the Tangent

For Students 9th - 10th
This site goes through a step by step example of how to find the equation of the tangent to a curve using the derivative.
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Handout
Wolfram Research

Wolfram Math World: Fundamental Theorem of Calculus

For Students 9th - 10th
This MathWorld site offers an explanation of the fundamental theorem of calculus includes links to other relevant information.
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Activity
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Derivatives of Logarithmic and Exponential Functions

For Students 9th - 10th
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.
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Activity
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Derivatives of Powers, Sums, and Constant Multiples

For Students 9th - 10th
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.
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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....
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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).
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Interactive
University of Colorado

University of Colorado: Ph Et Interactive Simulations: Calculus Grapher

For Students 9th - 10th Standards
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.
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Activity
Harvey Mudd College

Harvey Mudd College: First Derivative Maxima and Minima

For Students 9th - 10th
Shows how to find absolute extrema using the first derivative test.
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Activity
Math Medics

S.o.s. Math: The Derivative

For Students 9th - 10th Standards
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.
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Online Course
Massachusetts Institute of Technology

Mit: Open Course Ware: Multivariable Calculus

For Teachers 9th - 10th
The online course consists of educational materials about multivariable calculus. Readings, syllabus, interactive mathlets, video lectures, exams, and assignments are included.
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Online Course
Massachusetts Institute of Technology

Mit: Open Course Ware: Calculus (Textbook Study Guide)

For Teachers 9th - 10th
The online course consists of a study guide about calculus. Topics included are differentiation, vectors, infinite series, polar coordinates, and integration.
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Unit Plan
CK-12 Foundation

Ck 12: Calculus: Volume by Cross Section

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] This tutorial explains how to calculate the volume of various solids using the 'slicing' method and then deriving a formula for each solid. It goes on to discuss...
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Handout
Other

Matheno: How to Solve Optimization Problems in Calculus

For Students 10th - 12th
Need to solve Optimization problems in Calculus? This blog illustrates the steps needed to solve them routinely for yourself.
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Handout
Other

Dans Math: Lessons: Calculus (Part 1)

For Students 9th - 10th
College professor Dan Bach reviews the basic calculus concepts of limits and derivatives. The site includes examples and animated graphs.
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Interactive
National Council of Teachers of Mathematics

Nctm: Illuminations: Interactive Calculus Tool

For Students 9th - 10th
Investigate graphs of polynomial functions, tangent lines, derivatives, and area under a curve with this interactive applet.
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Unit Plan
CK-12 Foundation

Ck 12: Analysis: Derivatives of Sums and Differences

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] In this lesson students learn about the derivatives of binomials (sums and differences), and multiples of binomials (Product Rule). Students examine guided notes,...
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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.
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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.
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Activity
Texas Instruments

Texas Instruments: Use of Cas in Teaching Differential Calculus by First Princip

For Teachers 9th - 10th
This Computer Algebra System (CAS) activity encourages students to investigate the use of CAS to solve functions using derivatives and appropriate formulas.
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Handout
Paul Dawkins

Paul's Online Notes: Calculus Cheat Sheet [Pdf]

For Students 9th - 10th
The study sheet consists of formulas and examples on concepts discussed in a Calculus course. Topics included are limits, derivatives, integrals, and applications.
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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...
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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...
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Activity
Texas Instruments

Texas Instruments: Exploring the Fundamental Theorem of Calculus

For Teachers 9th - 10th
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,...