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CK-12 Foundation
Ck 12: Calculus: Volume by Cross Section
[Free Registration/Login may be required to access all resource tools.] This tutorial explains how to calculate the volume of various solids using the 'slicing' method and then deriving a formula for each solid. It goes on to discuss...
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.
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...
Texas Instruments
Texas Instruments: Use of Cas in Teaching Differential Calculus by First Princip
This Computer Algebra System (CAS) activity encourages students to investigate the use of CAS to solve functions using derivatives and appropriate formulas.
Paul Dawkins
Paul's Online Notes: Calculus Cheat Sheet [Pdf]
The study sheet consists of formulas and examples on concepts discussed in a Calculus course. Topics included are limits, derivatives, integrals, and applications.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Derivation of De Moivre's Formula
A formula using Euler's formula to derive DeMoivre's theorem. Basic calculus skills of differentiating and integrating are required to understand this explanation.
University of California
University of California, Davis: The Calculus Page
This site, from the University of California, provides several problems from beginning differential calculus, as well as beginning integral calculus. The problems can be accessed by clicking on the link, and the information provided is...
Paul Dawkins
Paul's Online Notes: Calculus I: Proof of Various Derivative Properties
The tutorial examines various derivative facts, formulas, and properties. Topics discussed are the definition of derivative, implicit differentiation, logarithmic differentiation, chain rule, and power rule. Class notes, proofs, and...
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...
Analyze Math
Analyze Math: Differentiation of Trigonometric Functions
Learners examine the formulas of the derivatives of trigonometric functions. Examples with detailed solutions are included.
Virginia Commonwealth University
Virginia Commonwealth University: Inverse Function
This page from the Virginia Commonwealth University is a slide with a short definition of the inverse function and its' derivative. It provides formulas.
Cuemath
Cuemath: Integral
A comprehensive guide for learning all about integrals with definitions, types and formulas, solved examples, and practice questions.
Department of Defense
Do Dea: Marginal Cost, Marginal Revenue
Business applications of derivatives are widely used. Marginal revenue, cost, and profit functions that you can find by taking the respective derivatives of revenue, cost, or profit would provide very valuable information to a business....
Department of Defense
Do Dea: Optimization the Basics
In this lesson, you learn how to apply the concepts of maxima and minima to any formula that is generated by business, economics, physics, etc. It is one of the most important applications of derivatives and will show up on your AP...
Department of Defense
Do Dea: Optimization Examples
Practice types of problems you will see on AP Calculus test that deal with optimization. Formulas and examples are provided.
Wolfram Research
Wolfram Math World: Product Rule
This MathWorld site explains the process of taking a derivative, in particlar the derivative of a product. The page begins by showing the concept of taking a derivative using mathematical notation, and breaking the result into component...
Wolfram Research
Wolfram Science World: Cl Circuit
Shows how simple harmonic motion is used in a circuit comprised of an inductor and a capacitor. Includes detailed formula derivation utilizing calculus.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Volume Equations for a Sphere and Pyramid
This site uses calculus to explain how the formulas for finding the volume of a sphere and a pyramid were derived.
Math2
Math2
This is a site for students and teachers of all grade levels. If you are looking for math tables, general information about math topics, or you would like to ask a question, this is the site to visit.
Hofstra University
Hofstra: Techniques of Differentiation
This applied calculus tutorial explains the various rules for taking the derivative of a function as well as giving a general formula for the operation and numerous examples.
Department of Defense
Do Dea: Free Fall Constants for Earth
When you work with equations that show position, velocity, acceleration of objects that are flying or falling through the air, you will be using the constant that is the acceleration due to gravity. View formulas, explanations, and...
Cuemath
Cuemath: Integration
Explore the world of integration in this mini-lesson. Learn the integration rule and other integral concepts and try your hand at a few practice questions.
Department of Defense
Do Dea: Instantaneous Rates of Change
Prepare for the AP Calculus exam by reviewing the most common relationships that are used in calculus. Formulas and examples are provided.
Wolfram Research
Wolfram Science World: Brownian Motion
This site from ScienceWorld gives a brief description of Brownian motion. It also goes on with a detailed series of formula derivations utilizing calculus. Links to related topics and definitions are given.