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
Worksheet #5, Concavity,
For this calculus worksheet, students determine the intervals in which a given relation is concave up. They determine the inflection points of a given formula. Students use the second derivative test to classify the relative extrema of a...
Curated OER
Applications of Derivatives: Finding Maxima and Minima
In this calculus worksheet, students are given 10 short-answer problems regarding functions, derivatives, minima, maxima and extremes.
Curated OER
Working with Rates of Change
In this calculus worksheet, students problem solve 8 word problems involving rates of change in association with high school students. Students work out each problem and give a short explanation of each answer.
Curated OER
The Apple Orchard Problem
Students explore various approaches to solving a problem of maximizing the total production of apples in an orchard. In this apple orchard lesson, students collect data in order to solve the apple orchard problem presented. Students plot...
Curated OER
Linear Approximation
In this algebra worksheet, students solve problems using estimation and the derivative. They calculate the critical points, domain and indicated intervals. They calculate the first and second derivative. There are 5 problems.
Harvey Mudd College
Harvey Mudd College: First Derivative Maxima and Minima
Shows how to find absolute extrema using the first derivative test.
Cool Math
Coolmath: Pre Calculus Maximums and Minimums: Finding Relative Extrema
This CoolMath resource will help students find relative extrema.
Mathematics Archives
Math Archives: Visual Calculus: Drill First Derivative Test
A good worksheet for students to practice their first derivative skills. Allows you to check your answers by clicking the "solution" box.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Analyzing Graphs
Students learn about the features of a graph. Topics include intercepts, extrema, points of inflection, and end behavior. The tutorial explores the calculus concepts through notes and examples. Review exercises and a topic summary are...
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.
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Topic Summaries: Applications of the Derivative
The topic summary outlines derivate applications. Some topics reviewed are second derivative, relative extrema, and related rates. The resource consists of definitions, notes, and examples.
Lawrence Hall of Science
The Math Page: An Approach to Calculus: Applications of Maximum and Minimum Values
Here is a site that clearly and thoroughly explains how to solve applied max/min problems using the first derivative. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this...
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...
Other
Union College: Glossary/maxima, Minima, and Saddles
This site from the Union College Math Department has definitions of the various types of extrema found in calculus. Includes definitions to maxima, minima and saddles.