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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.
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...
Interactive Mathematics
Interactive Mathematics: Applications of Derivatives
The derivatives of logarithmic and exponential functions are used in problems dealing with earthquake measurement and air resistance. The problems allow students to see how these derivatives are applied with practice.
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.
University of Vienna (Austria)
University of Vienna: The Big Derivative Puzzle
Given a set of four graphs, match each graph with the graph of it's derivative. This exercise helps to visualize the relationship between a graph and it's derivative, and over 50 graphs are available (although only four are used at one...
Texas Instruments
Texas Instruments: Application of the Derivative
In this activity, students learn and explore two common applications of the derivative: optimization and related rate.
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: The Definition of Derivative
Students can use the graphing calculator to demonstrate the use of the difference quotient as the definition of the derivative.
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: Derivatives
This is a set of problems involving the concepts of derivatives. The problems are similar to those encountered during the second quarter of a typical calculus course.
Texas Instruments
Texas Instruments: Cubic Inflection
This application of derivatives 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 specific results.
Texas Instruments
Texas Instruments: Quartic Regions
This activity is an application of derivatives and of definite integrals. It introduces students to an interesting property of Quartics which students can verify using the CAS of their TI-89.
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...
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.
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...
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...
Texas Instruments
Texas Instruments: Relating Graphs of a Function to Derivatives
Students will be lead to discover the relationship between the graph of a function, graph of first derivative, and graph of the second derivative using TI-InterActive!.
Texas Instruments
Texas Instruments: The Derivative as a Limit
Read about the near-simultaneous discovery of Calculus by Liebniz and Newton, then see some examples worked through of finding derivatives of functions using the limit definition of derivative. Following the examples are exercises with...
Texas Instruments
Texas Instruments: Discovering the Derivative of the Sine and Cosine Functions
In this activity, students discover the derivative of sin(x) and cos(x) by analyzing a scatter plot of x-values and the function's numerical derivatives at these x-values.
Texas Instruments
Texas Instruments: Computing Derivatives
Sample problems that provide ideas about using SMG to assist students in learning to solve derivative problems. Prerequisites: ability to classify functions as power, exponential, product, and composition and how to decompose composite...
Texas Instruments
Texas Instruments: Derivative Formulas
Students use StudyCards(tm) to complete derivative functions.
Texas Instruments
Texas Instruments: Recovering a Function From Its Derivative
In this activity, students use the calculator to visualize a function using the equation describing its derivative and a single point on the function. They start with simple equations and later solve more complex and difficult...