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: 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: Optimization
This activity illustrates how the derivative is used to find a solution to an optimization problem.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Topic Summaries: Applications of the Derivative
The topic summary outlines derivate applications. Some topics reviewed are second derivative, relative extrema, and related rates. The resource consists of definitions, 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.
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Derivadas. Aplicaciones. Optimizacion.
In Spanish. This interactive unit is intended to show you how to calculate the derivative of a function and the application of the derivative in other sciences.
Other
Karl's Calculus Tutor: Applications of Derivatives
This detailed site provides five web pages devoted to the various applications of derivatives. Content includes several examples and learning exercises.
Other
Dans Math: Lessons: Calculus (Part 1)
College professor Dan Bach reviews the basic calculus concepts of limits and derivatives. The site includes examples and animated graphs.
Texas Instruments
Texas Instruments: Derivatives (Trig Functions)
This learning check activity will test the students knowledge of the derivatives of the 6 trigonometric functions.
Texas Instruments
Texas Instruments: Mean Value Theorem
The student will be able to understand the Mean Value Theorem using numerical and graphical methods.
Texas Instruments
Texas Instruments: Finding Extreme Values
In this activity, students can use symbolic algebra and graphing to find the extreme values for a polynomial function.
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: Exploring Derivatives Using Lists
This lesson will discover the power rule, and find the formulas for such functions as ln(x),e^x, etc. It uses lists and regression formulas.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Review Exercises: Applications of the Derivative
Students review applications of derivatives. The resource consists of review exercises on the calculus concepts.
Paul Dawkins
Paul's Online Notes: Calculus I: Applications of Derivatives
Learners examine applications of derivatives. Topics investigated are rates of change, the mean value theorem, optimization problems, critical points, linear approximations, and Newton?s method. Class notes, definitions, and examples...
Paul Dawkins
Paul's Online Notes: Calculus I: Proofs of Derivative Applications Facts
The tutorial consists of proofs of derivative applications. Topics discussed are Fermat?s theorem, mean value theorem, and Rolle?s theorem. Class notes, definitions, and examples with detailed solutions are included. The class notes are...
Paul Dawkins
Paul's Online Notes: Calculus Iii: Applications of Partial Derivatives
The resource examines applications of partial derivatives. Topics investigated are tangent planes, linear approximation, gradient vector, and Lagrange multipliers. Class notes, definitions, and examples with detailed solutions are...
Texas Instruments
Texas Instruments: Making Motion Graphs With Toys
Intended for the beginning lessons in derivative and function graphs, this activity uses motion detectors and battery operated toy cars to generate constant velocity graphs on a TI-83/84. Then students take a free-wheeling car and roll...
Texas Instruments
Texas Instruments: Projectile Motion
In this activity, students can use the calculator's differential equation graphing mode to model projectile motion. They analyze time-height data for a falling object using the statistical features of the calculator. They also compare...
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...
CK-12 Foundation
Ck 12: Tangent Lines
[Free Registration/Login Required] Students can adjust the size of the circle to explore the tangent lines. Click learn more to watch a video and click challenge me to answer a practice question.
Other
American Mathematical Society: Bin Packing
Bin packing is a very appealing mathematical model. This article discusses several bin packing problems and the various methods for solving them.
Other
European Journal of Operational Research: Two Dimensional Packing Problems
This article analyzes problems requiring to allocate a set of rectangular items to larger rectangular standardized units by minimizing the waste. It discusses mathematical models and surveys lower bounds, classical approximation...