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...
Texas Instruments
Texas Instruments: Recovering a Function From Its Derivative: Numerical Approach
In this activity, students use the calculator to find numerical solution for a function given its derivative and a point on the function.
Shodor Education Foundation
Shodor Interactivate: Derivate
View the graph and the equation of the line tangent to any function at any point on the function.
Math Open Reference
Math Open Reference: Derivative Function
A complete reference guide to derivative functions. It provides definitions, examples, and an interactive activity that enhances further explanation. Includes links to related topics.
Interactive Mathematics
Interactive Mathematics: Derivatives of Products and Quotients
The product and quotients rules for derivatives are presented. Several examples are provided to allow practice for applying the rules to finding the derivatives to functions.
Interactive Mathematics
Interactive Mathematics: Derivatives of Logarithmic Functions
The formulas for finding the derivatives of logarithmic functions are presented, then demonstrated with several examples. The solutions are hidden to allow students to work the problems without help.
Interactive Mathematics
Interactive Mathematics: Derivatives of Exponential Functions
The formulas for determining the derivatives of exponential functions are presented in this lesson, along with several examples and exercises. The solutions are hidden to allow students to practice the concept without help.
Interactive Mathematics
Interactive Mathematics: Derivatives of Polynomials
Several formulas for derivatives are presented, including formulas for constants, powers, products, and sums. Exercises are included that allow you to work the problem before seeing the answer.
Khan Academy
Khan Academy: Analyzing the Second Derivative to Find Inflection Points
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.
Interactive Mathematics
Interactive Mathematics: Applying Trigonometric Derivatives
The applications presented here demonstrate how the derivatives of trigonometric functions are used in real world problems.
Department of Defense
Do Dea: Marginal Cost, Marginal Revenue
Business applications of derivatives are widely used. Marginal revenue, cost, and profit functions that you can find by taking the respective derivatives of revenue, cost, or profit would provide very valuable information to a business....
Department of Defense
Do Dea: Optimization the Basics
In this lesson, you learn how to apply the concepts of maxima and minima to any formula that is generated by business, economics, physics, etc. It is one of the most important applications of derivatives and will show up on your AP...
Texas Instruments
Texas Instruments: The Growth Rings of a Tree
In this activity, the students can use limits to find derivatives and to find the relationship between radii and area. This activity uses tree growth as the basis for the activity.
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: 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...