Texas Instruments
Texas Instruments: An Introduction to Derive
In this activity, students use the Derive software to algebraically solve expressions, find factors, study binomial coefficients, and investigate derivatives and integrals.
Texas Instruments
Texas Instruments: Cubic Regions
This application of derivatives and definite integrals introduces students to an interesting property of cubics and a method of proving that property using the TI-89 scripts. They then use the CAS of their TI-89 to generalize upon...
Texas Instruments
Texas Instruments: Rate of Change
This activity is designed for students who have already learned the definition of the derivative and that it can be used to determine the slope of a curve. (Continued. See "before the activity.")
Texas Instruments
Texas Instruments: Confectionery Delight
Students first make physical models using paper and scissors to get a grasp of the problem and to determine how to set it up. They then use the CAS of the TI-89 and calculus to determine the dimensions of the box which gives the maximum...
Texas Instruments
Texas Instruments: Critical Points
This activity involves analyzing a function for its critical values.
Texas Instruments
Texas Instruments: Implicit Differentiation
In this activity, students can use the graphing calculator to find the derivative of an implicitly defined function.
Texas Instruments
Texas Instruments: Use of Cas in Teaching Differential Calculus by First Princip
This Computer Algebra System (CAS) activity encourages students to investigate the use of CAS to solve functions using derivatives and appropriate formulas.
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: Solving Diff Eqs: Fundamental Theorem Calculus
This activity exclusively uses the graphing calculator's ability to apply Euler's method to find a solution to a differential equation with a given initial condition.
Texas Instruments
Texas Instruments: Differentiation
In this activity, students explore estimated and exact results for derivatives, tangent lines, implicit differentiation, and symbolic differentiation.
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...
![Paul's Online Notes: Calculus Cheat Sheet [Pdf] Handout](https://d15y2dacu3jp90.cloudfront.net/images/attachment_defaults/resource/large/FPO-knovation.png "Paul's Online Notes: Calculus Cheat Sheet [Pdf] Handout")
Paul Dawkins
Paul's Online Notes: Calculus Cheat Sheet [Pdf]
The study sheet consists of formulas and examples on concepts discussed in a Calculus course. Topics included are limits, derivatives, integrals, and applications.
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Aplicaciones De La Derivada
In Spanish. In this interactive unit learn how to calculate intervals of growth and decay, maximum and minimum value of a function, the intervals of concavity and convexity and the turning points of a function.
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Problemas De Optimizacion
In Spanish. Apply your Calculus knowledge using interactive activities to solve optimization problems.
University of Manchester
Umist: Mathematical Formula Tables
This site has links to tables of mathematical formulas. To view them, the student must download the formulas in pdf format.
Jim Loy
Derivatives
This site explains the derivative as the tangent at a point on a curve. The concept of finding the tangent is discussed; links are provided for the concept of taking a limit.
Texas Instruments
Texas Instruments: Derivatives (Trig Functions)
This learning check activity will test the students knowledge of the derivatives of the 6 trigonometric functions.
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: 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...
Texas Instruments
Texas Instruments: Move My Way a Cbr Analysis of Rates of Change
In this activity, students use the motion detector to collect position data and study the relationship between position and velocity. They explore the relationship between functions and their derivatives. Students learn to connect...
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...
CK-12 Foundation
Ck 12: Analysis: Quotient Rule and Higher Derivatives
[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...
The Balance
The Balance: An Introduction to the Financial Markets
This article explains what the different types of financial markets are, including stocks, bonds, commodities, and derivatives, as well as what the functions of financial markets are.
CK-12 Foundation
Ck 12: Analysis: Derivatives of Sums and Differences
[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,...