Lawrence Hall of Science
The Math Page: An Approach to Calculus: Derivatives of Logarithmic and Exponential Functions
Here is a site that clearly and thoroughly explains how to find the derivative of exponential and logarithmic functions. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point...
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: 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: 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.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Derivatives of Logarithmic and Exponential Functions
Students learn how to compute the derivative of logarithmic and exponential functions. The tutorial explores the calculus concepts through notes and examples. Review exercises and a topic summary are included.
Lawrence Hall of Science
The Math Page: An Approach to Calculus: Derivatives of Trig. Functions
Here is a site that clearly and thoroughly explains how to find the derivative of each of the six trigonometric functions. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point...
Math Words
Math Words: Derivative Rules
This site offers fourteen rules for differentiation-- anything from a constant function to logarithmic functions.
Other
Karl's Calculus Tutor: Derivative of Inv. Trig Functions
This site provides a general overview of the derivative of inverse trig trunctions. Content includes a proof, exercises, and more.
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.