Analyze Math
Analyze Math: Differentiation of Trigonometric Functions
Learners examine the formulas of the derivatives of trigonometric functions. Examples with detailed solutions are included.
Analyze Math
Analyze Math: Differentiation of Logarithmic Functions
Students investigate the derivatives of logarithmic functions. The resource includes examples and practice problems with solutions.
Analyze Math
Analyze Math: Derivative of Sin (X)
The interactive tutorial explores the graph of the derivative of sin (x).
Texas Instruments
Texas Instruments: Fundamental Theorem of Calculus
In this activity, students explore the connection between an accumulation function, one defined by a definite integral, and the integrand. They also discover that the derivative of the accumulator is the integrand.
Discovery Education
Discovery Education: Web Math: Find a Derivative Using the Quotient Rule
WebMath offers an-line solver that allows the student to input a function have it automatically differentiated using the quotient rule.
Wolfram Research
Wolfram Math World: Indefinite Integral
This MathWorld site offers an explanation of the indefinite integral. Includes links to related topics within the explanation.
Analyze Math
Analyze Math: Differentiation of Exponential Functions
Learners examine the derivatives of exponential functions. The tutorial consists of examples and practice problems with solutions.
Analyze Math
Analyze Math: Tables of Derivatives
The resource consists of a table of the common derivatives used in calculus.
Analyze Math
Analyze Math: Use the Chain Rule of Differentiation in Calculus
The tutorial discusses the chain rule of differentiation. The resource consists of examples and practice exercises with solutions.
University of Notre Dame
University of Notre Dame: Approximating Area Under a Curve With Rectangles
PDF of examples for finding the area under a curve using rectangles.
Johan Claeys
Math Abundance: Hyperbolic Functions and Inverses
Site has information and examples for topics about hyperbolic functions and inverses.
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...
Analyze Math
Analyze Math: Derivative of Inverse Function
The tutorial explores the derivatives of inverse functions. Examples and practice exercises with solutions are included.
National Council of Teachers of Mathematics
Nctm: Illuminations: Interactive Calculus Tool
Investigate graphs of polynomial functions, tangent lines, derivatives, and area under a curve with this interactive applet.
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: 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.
Math Open Reference
Math Open Reference: Sine (Sin) Function Trigonometry
A complete reference guide to the sine function. It provides definitions, examples, and an interactive activity that enhances further explanation. Includes links to related topics.
Math Open Reference
Math Open Reference: Introduction to Differential Equations
A thorough reference guide to differential equations. It provides definitions, examples, and an interactive activity that enhances further explanation. Includes links to related topics.
Math Open Reference
Math Open Reference: Related Rates
A complete reference guide to related rates. It provides definitions, examples, and an interactive activity that enhances further explanation. Includes links to related topics.
Shodor Education Foundation
Shodor Interactivate: Derivate
Explores derivatives and the idea of infinity using a geometric interpretation of slope.
Math Open Reference
Math Open Reference: L'hopital's Rule
Learn about L'Hopital's Rule with this helpful reference tool. Provides detailed examples that enhances further explanation. Includes links to related topics.
Massachusetts Institute of Technology
Mit: Calculus Index
This site from the Massachussets Institute of Technology has links to various topics in calculus.
Math2
Math2.org: Table of Derivatives
A lengthy list of the rules of derivatives. Examples shown include the power of x derivatives, exponential and logarithmic derivatives, trigonometric derivatives, and hyperbolic derivatives. Several of the rules have their proofs...