Paul Dawkins
Paul's Online Notes: Calculus I: Applications of Derivatives
Learners examine applications of derivatives. Topics investigated are rates of change, the mean value theorem, optimization problems, critical points, linear approximations, and Newton?s method. Class notes, definitions, and examples...
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...
Lawrence Hall of Science
The Math Page: An Approach to Calculus: Maximum and Minimum Values
Here is a site that clearly and thoroughly explains how to find the local maxima and minima of functions by using the first derivative. There are example problems solved, problems for the student to attempt, and answers to the student...
Lawrence Hall of Science
The Math Page: Topics in Pre Calculus: Completing the Square
Here is a site that clearly and thoroughly explains how to solve quadratic equations by completing the square. The quadratic formula is derived using this method on this page. Point this site out to students who have been absent or who...
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.
Department of Defense
Do Dea: Fundamental Theorem of Calculus Part 2
This part of the Fundamental Theorem of Calculus tells us what happens when you take the derivative of an integral that has a variable as an upper limit of integration. Examples and explanations are provided. Great review for the AP...
Texas Instruments
Texas Instruments: Differential Calculus
In this activity, students learn to solve problems dealing with limits, derivatives, and optimization. They use various features of the TI-86 to study some important ideas covered in a differential calculus course.
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.
Mathematics Archives
Math Archives: Visual Calculus: Tangent Lines to Polar Graphs
This site give the formula for finding the slope of the tangent line to a polar graph. The page offers step by step explanations and worked examples.
Texas Instruments
Texas Instruments: Solving Diff Eqs: Fundamental Theorem Calculus
This activity exclusively uses the graphing calculator's ability to apply Euler's method to find a solution to a differential equation with a given initial condition.
Curated OER
Visual Calculus: Derivatives and Graphing
This site from Visual Calculus at the University of Tennessee provides very helpful exercises in graphing calculus problems. Provides ten exercises.
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 Exponential Functions
Learners examine the derivatives of exponential functions. The tutorial consists of examples and practice problems with solutions.
Mathematics Archives
Math Archives: Visual Calculus: Graph a Function, Its Second Derivative
This online tutorial site shows that the concavity of a function is related to the second derivative of the function by using an online graphing system. Inflection points are also briefly discussed.
Mathematics Archives
Math Archives: Visual Calculus: Differentiation Formulas
This site gives the definition of a derivative, discusses the derivative of a constant function, gives general operations to use on functions with derivatives (scalar multiplication, addition, and the power rule). The site has multiple...
Massachusetts Institute of Technology
Mit: Calculus Index
This site from the Massachussets Institute of Technology has links to various topics in calculus.
Other
Jiskha Homework Help: Math Calculus
Jiskha.com offers help with your calculus homework. Use the find button to locate the subject you are interested in. This will take you to the correct link.
University of California
U of Ca, Davis: Graphing Functions Using Derivatives
Learn about the graphing of functions through useage of the first and second derivatives.
Mathematics Archives
Math Archives: Visual Calculus: Product Rule
This site has several examples of the power rule that the student can work out then check on line
Texas Instruments
Texas Instruments: Confectionery Delight
Students first make physical models using paper and scissors to get a grasp of the problem and to determine how to set it up. They then use the CAS of the TI-89 and calculus to determine the dimensions of the box which gives the maximum...
Texas Instruments
Texas Instruments: Implicit Differentiation
In this activity, students can use the graphing calculator to find the derivative of an implicitly defined function.
Analyze Math
Analyze Math: Definition of the Derivative of a Function
Students use the interactive applet to investigate the difference quotient.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Maxima and Minima
Students learn about applications of derivatives. Topics include maxima and minima. The tutorial explores the calculus concepts through notes and examples. A chapter quiz, review exercises, and chapter summary are included.
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.