Minima and Maxima Teacher Resources

Students determine the monotonicity and concavity properties of a function, then apply the First Derivative Test and draw conclusions about the first and second derivatives from these properties.

In this Pre-Calculus instructional activity, students solve problems involving periodic functions.  The three page instructional activity contains twenty-three problems.  Answers are not provided. 

Students calculate the Balmer series. In this physics lesson, students observe hydrogen lamp spectra using spectrometers. They calculate wavelength and compare them with their theoretical calculations.

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.

Very good site explaining the maxima and minima. The site has examples and definitions along with links to help the student through the process.

Students learn how to apply maxima and minima in real world problems. Topics include optimization problems, objective functions, and constraints. The tutorial explores the calculus concepts through notes and examples. A chapter quiz,...

Shows how to find absolute extrema using the first derivative test.

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.

Given the graph of a function, find all of its relative maximum and minimum points. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

Given the graph of a function, find its absolute maximum and minimum points. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

Given the graph of a function, find its absolute maximum and minimum points.

Review how we use differential calculus to find absolute extremum (minimum and maximum) points.

Given the graph of a function, find all of its relative maximum and minimum points.

Graphing a function and identify the maximum and minimum.

Find absolute minimum/maximum points of continuous functions over closed intervals.

Find absolute minimum/maximum points of continuous functions over their entire domain.

Sal analyzes the absolute minimum and maximum points of g(x)=x^2ln(x) over its entire domain.

The Etruscans introduced the concept of substantial architecture to the city of Rome. Stronger walls were built, more imposing temples were consecrated, and the Cloaca Maxima, the Roman sewer, and Circus Maximus were constructed.

The Capitoline Hill is a Roman hill between the Forum and the Campus Martius. The Cloaca Maxima was one of the world's earliest sewage systems. "The Capitoline and Cloaca Maxima. A restoration." -Allen, 1890

Casa Minima (Buenos Aires)

Examples are presented to demonstrate the steps for sketching curves that are not polynomials. Using x- and y-intercepts, limits, domain and range, maxima and minima, second derivatives and general behavior the graphs are constructed...

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...

Sketches of functions are drawn by determing important points: x- and y-intercepts, local maxima and minima, and point of inflection. The general shapes of specific functions are illustrated to help identify characteristics of each type...

Perform oblique releases and observe the horizontal range and the maximum height of the projectile.