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West Contra Costa Unified School District
Using Derivatives to Graph Polynomials
You can learn to graph as well as a calculator using calculus. The lesson introduces using derivatives to find critical points needed to graph polynomials. Pupils learn to find local maximums and minimums and intervals of increase...
West Contra Costa Unified School District
Derivative Theorems
Put all of the derivative rules into one basket. The lesson stars with warm-up exercises that provide a connection to previously learned concepts. The lesson plan uses the different derivative theorems to calculate a variety of...
University of Notre Dame
The Natural Exponential Function
Ready to apply the concepts related to the natural exponential equations and logarithmic equations? A math lesson reviews concepts from inverse properties to solving to derivatives and integrals.
Chapman University
Proving the Chain Rule
Understanding how our calculus derivative formulas were derived, connects learners to the idea that the study of mathematics is continuous and cumulative. Learners will also develop a deeper appreciation for the short cuts used to find a...
Whitman College
Calculus - Early Transcendentals
This textbook takes the learner from the basic definition of slope through derivatives, integrals, and vector multivariable calculus. Each section is composed primarily of examples, with theoretical introductions and explanations in...
West Contra Costa Unified School District
Particle Motion
Derivatives are useful for many things — they can even keep track of particle motion. An informative lesson plan provides an introduction to the idea of the second derivative in particle motion. Class members determine the...
West Contra Costa Unified School District
The Extreme Value Theorem
Finding the critical numbers of a function can be extreme. The lesson introduces the Extreme Value Theorem to the class with a graph. Pupils then have an opportunity to practice determining the values using an algebraic function.
Curated OER
Study Guide for the Advanced Placement Calculus AB Examination
Is this going to be on the test? A calculus study guide provides an organized list of important topics and a few examples with answers. The topics include elementary functions, limits, differential calculus, and...
West Contra Costa Unified School District
Interest and the Number e
Mary, Mary, quite continuously, how does your money grow? Uses examples to examine the difference between simple interest and compound interest, and to take a look at different rates of compounding. Learners explore what would...
Curated OER
Math Handbook: Calculus
If only there was a reference that listed all the formulas covered in calculus. Luckily, there is. This comprehensive 197-page handbook provides formulas and explanations for all topics in AP Calculus or in a standard college calculus...
Whitman College
Calculus
Everything you wanted to know about calculus—and more! The resource is a complete Calculus textbook with explanations, examples, and practice problems.
National Institute of Open Schooling
Alcohols, Phenols and Ethers
Classes continue their study of organic compounds in a detailed lesson covering alcohols, phenols, and ethers. Naming these compounds, classifying them, and describing their preparation and use are some of the topics covered. Through...
National Institute of Open Schooling
Aldehydes, Ketones and Carboxylic Acids
Although their name makes them sound dangerous or toxic, carboxylic acids are found throughout nature in things such as citric acid, vinegar, and even in your DNA. Through detailed readings, discussions, and answering questions...
National Institute of Open Schooling
Compounds of Carbon Containing Nitrogen
Amines are vital to humans because they help form amino acids, the building blocks of proteins. The 30th lesson in a series of 36 specifically focuses on the organic compounds that contain nitrogen. Learners classify amines and nitro...
Old Dominion University
Introduction to Calculus
This heady calculus text covers the subjects of differential and integral calculus with rigorous detail, culminating in a chapter of physics and engineering applications. A particular emphasis on classic proof meshes with modern graphs,...
National Institute of Open Schooling
Hydrocarbons
The vast majority of hydrocarbons humans use help fuel cars, homes, and provide energy. A comprehensive lesson teaches pupils all about hydrocarbons. From alkanes, alkenes, and alkynes to benzene, classes study the preparation of these...
Math Open Reference
Math Open Reference: Derivative Function
A complete reference guide to derivative functions. It provides definitions, examples, and an interactive activity that enhances further explanation. Includes links to related topics.
Northeast Parallel Architectures Center, Syracuse University
Npac Reu Program: Tangent Lines and the Derivative
The Northeast Parallel Architectures Center of Syracuse University provides a comprehensive site dealing with the tangent and the derivative. Provides table of contents which leads to different related topics.
Johan Claeys
Math Abundance: Hyperbolic Functions and Inverses
Site has information and examples for topics about hyperbolic functions and inverses.
Math Medics
S.o.s. Math: The Derivative
Very nice lesson on taking the derivative of a function and its inverse.
Math Open Reference
Math Open Reference: Power Functions
Gain an understanding of power functions with this helpful reference tool. Provides a detailed definition and examples that enhance 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.
Duke University
Duke University: Inverse Functions
This resource has links to topics explaining inverse functions. Includes the derivative of an inverse function.
Math Words
Math Words: Derivative Rules
This site offers fourteen rules for differentiation-- anything from a constant function to logarithmic functions.