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...
Lawrence Hall of Science
The Math Page: An Approach to Calculus: More Rules for Derivatives
Here is a site that clearly and thoroughly explains the quotient rule, implicit differentiation, and derivatives of inverse functions. There are example problems solved, problems for the student to attempt, and answers to the student...
Texas Instruments
Texas Instruments: Functioning on Your Own
In this activity, students learn to create and use functions. They learn to create functions with multiple arguments, solve derivative of implicitly defined functions, and to solve rate problems using Function Editor.
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...
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...
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Topic Summaries: Functions of Several Variables
The topic summary outlines functions of several variables. Some topics reviewed are partial derivatives, double integrals, real-valued function, and three-dimensional space. The resource consists of definitions, notes, and examples.
Analyze Math
Analyze Math: First Derivative of a Function
The interactive applet examines the graphical interpretation of the derivative of a function based on the difference quotient.
Texas Instruments
Texas Instruments: Parametric, Vector, Polar and 3 D Functions
In this activity, students investigate and graph parametric functions, vectors, polar functions, and 3D functions.
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.
Math Medics
S.o.s. Math: Inverse Hyperbolic Functions
This tutorial shows step by step how the inverse of the hyperbolc cosine function is derived.
Wolfram Research
Wolfram Math World: Leibniz Integral Rule
This page discusses the Leibniz Integral Rule, which concerns "the differentiation of a definite integral whose limits are functions of the differential variable."
University College London
University College London: Introduction to Hyperbolic Functions
This is a brief introduction to hyperbolic functions. Contains a definition only, no graphics.
Wolfram Research
Wolfram Math World: Generalized Hyperbolic Functions
This site from MathWorld.com has information on the Hyperbolic functions. This site includes a definition which includes the derivative of such a function, the Euler formula for the function, its Laplace transform, and a list of the...
Massachusetts Institute of Technology
Mit: Calculus for Beginners and Artists
Students learn about Calculus concepts through online notes, applets, and dialogs. Topics include derivatives, integrals, linear functions, and derivative applications.
University of Vienna (Austria)
Differentiation 1 Maths Online Gallery
This is a wonderful site that helps students understand and practice with the concept of derivative as the slope of the tangent of a function. The site contains several interactive exercises.
BBC
Bbc: Differentiations
This site presents a tutorial on the topic of differentiation. Points of focus include rules for differentiation, tangents to curves, derivatives, increasing and decreasing functions, and optimization. Examples and a practice test are...
Math Open Reference
Math Open Reference: Function Composition the Chain Rule
Learn about the chain rule with this helpful reference tool. Provides a detailed definition, examples, and an animation that enhances further explanation. Includes links to related topics.
Northeast Parallel Architectures Center, Syracuse University
Npac Reu Program: The Chain Rule
This Northeast Parallel Architectures Center at Syracuse University provides a table of contents on information and examples on the chain rule.
Interactive Mathematics
Interactive Mathematics: Derivatives of Csc, Sec, and Cot Functions
The derivatives for cosecant, secant, and cotangent functions are presented here. Several examples allow the user to practice finding the derivatives before seeing the solutions.
Interactive Mathematics
Interactive Mathematics: Derivatives Sin, Cos, & Tan Function
Several formulas are given for taking the derivatives of trigonometry functions. Several examples are presented to demonstrate the process of finding these derivatives. The examples allow the user to practice before seeing the solution.
Interactive Mathematics
Interactive Mathematics: Applying Trigonometric Derivatives
The applications presented here demonstrate how the derivatives of trigonometric functions are used in real world problems.
Interactive Mathematics
Interactive Mathematics: Derivatives of Inverse Trig Functions
The formulas for working with the derivatives of inverse trigonometry functions (arccos, arcsin, etc.) are presented here, along with several examples of how to find such derivatives. The exercises allow you to work the problems before...
Math2
Math2.org: Proofs of Derivatives of Hyperbolics
This site has proofs of derivatives of hyperbolic functions using various rules which may be viewed by clicking on the colored links.
University of California
University of California, Davis:trig Derivatives
Use this site from the University of California, Davis to practice taking derivatives of trigonometric functions. The site begins with a list of the derivatives of each of the trig functions and then offers related problems with solutions.