Activity
Texas Instruments

Texas Instruments: Recovering a Function From Its Derivative: Numerical Approach

For Teachers 9th - 10th
In this activity, students use the calculator to find numerical solution for a function given its derivative and a point on the function.
Activity
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Derivatives of Logarithmic and Exponential Functions

For Students 9th - 10th
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.
Activity
Lawrence Hall of Science

The Math Page: An Approach to Calculus: Derivatives of Trig. Functions

For Students 9th - 10th
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...
Handout
Math Words

Math Words: Derivative Rules

For Students 9th - 10th
This site offers fourteen rules for differentiation-- anything from a constant function to logarithmic functions.
Activity
Other

Karl's Calculus Tutor: Derivative of Inv. Trig Functions

For Students 9th - 10th Standards
This site provides a general overview of the derivative of inverse trig trunctions. Content includes a proof, exercises, and more.
Activity
Texas Instruments

Texas Instruments: Computing Derivatives

For Teachers 9th - 10th
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...
Activity
Lawrence Hall of Science

The Math Page: An Approach to Calculus: More Rules for Derivatives

For Students 9th - 10th
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...
Activity
Texas Instruments

Texas Instruments: Functioning on Your Own

For Teachers 9th - 10th
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.
Activity
Texas Instruments

Texas Instruments: Move My Way a Cbr Analysis of Rates of Change

For Teachers 9th - 10th
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...
Activity
Texas Instruments

Texas Instruments: The Derivative as a Limit

For Teachers 9th - 10th
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...
Activity
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Topic Summaries: Functions of Several Variables

For Students 9th - 10th
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.
Activity
Analyze Math

Analyze Math: First Derivative of a Function

For Students 9th - 10th
The interactive applet examines the graphical interpretation of the derivative of a function based on the difference quotient.
Activity
Texas Instruments

Texas Instruments: Parametric, Vector, Polar and 3 D Functions

For Teachers 9th - 10th
In this activity, students investigate and graph parametric functions, vectors, polar functions, and 3D functions.
Activity
Texas Instruments

Texas Instruments: Exploring Derivatives Using Lists

For Teachers 9th - 10th
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.
Activity
Math Medics

S.o.s. Math: Inverse Hyperbolic Functions

For Students 9th - 10th Standards
This tutorial shows step by step how the inverse of the hyperbolc cosine function is derived.
Unit Plan
Wolfram Research

Wolfram Math World: Leibniz Integral Rule

For Students 11th - 12th
This page discusses the Leibniz Integral Rule, which concerns "the differentiation of a definite integral whose limits are functions of the differential variable."
Handout
University College London

University College London: Introduction to Hyperbolic Functions

For Students 9th - 10th Standards
This is a brief introduction to hyperbolic functions. Contains a definition only, no graphics.
Handout
Wolfram Research

Wolfram Math World: Generalized Hyperbolic Functions

For Students 9th - 10th Standards
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...
Online Course
Massachusetts Institute of Technology

Mit: Calculus for Beginners and Artists

For Students 9th - 10th
Students learn about Calculus concepts through online notes, applets, and dialogs. Topics include derivatives, integrals, linear functions, and derivative applications.
Activity
University of Vienna (Austria)

Differentiation 1 Maths Online Gallery

For Students 9th - 10th
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.
Activity
BBC

Bbc: Differentiations

For Students 9th - 10th
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...
Handout
Math Open Reference

Math Open Reference: Function Composition the Chain Rule

For Students 9th - 10th
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.
Unit Plan
Northeast Parallel Architectures Center, Syracuse University

Npac Reu Program: The Chain Rule

For Students 11th - 12th
This Northeast Parallel Architectures Center at Syracuse University provides a table of contents on information and examples on the chain rule.
Activity
Interactive Mathematics

Interactive Mathematics: Derivatives of Csc, Sec, and Cot Functions

For Students 9th - 10th
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.