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# Maxima & minima resources

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### Community Project (2)

Differentiation for Economics and Business Studies Functions of Multi-Variable Functions (SOURCE)
Latex source, image files and metadata for the Fact & Formulae leaflet "Differentiation for Economics and Business Studies Functions of Multi-Variable Functions" contributed to the mathcentre Community Project by Morgiane Richard (University of Aberdeen) and reviewed by Anthony Cronin (University College Dublin).
Differentiation for Economics and Business Studies Functions of One Variable (SOURCE)
Latex source, image files and metadata for the Fact & Formulae leaflet "Differentiation for Economics and Business Studies Functions of One Variable" contributed to the mathcentre Community Project by Morgiane Richard (University of Aberdeen) and reviewed by Anthony Cronin (University College Dublin).

### Facts & Formulae Leaflets (2)

Differentiation for Economics and Business Studies Functions of Multi-Variable Functions
Overview of the rules of partial differentiation and methods of optimization of functions in Economics and Business Studies. This leaflet has been contributed to the mathcentre Community Project by Morgiane Richard (University of Aberdeen) and reviewed by Anthony Cronin (University College Dublin).
Differentiation for Economics and Business Studies Functions of One Variable
Overview of differentiation and its applications in Economics. This leaflet has been contributed to the mathcentre Community Project by Morgiane Richard (University of Aberdeen) and reviewed by Anthony Cronin (University College Dublin).

### Motivating Mathematics (1)

Faulty Tyres - David Saunders
This mathtutor extension discusses how mathematical modelling using differentiation may be used to determine optimum delivery sizes. This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

### Teach Yourself (1)

Applications of differentiation - maxima and minima
This unit explains how differentiation can be used to locate turning points. It explains what is meant by a maximum turning point and a minimum turning point.

### Test Yourself (1)

Maths EG
Computer-aided assessment of maths, stats and numeracy from GCSE to undergraduate level 2. These resources have been made available under a Creative Common licence by Martin Greenhow and Abdulrahman Kamavi, Brunel University.

### Third Party Resources (1)

Mathematics Support Materials from the University of Plymouth
Support material from the University of Plymouth:
The output from this project is a library of portable, interactive, web based support packages to help students learn various mathematical ideas and techniques and to support classroom teaching.
There are support materials on ALGEBRA, GRAPHS, CALCULUS, and much more.
This material is offered through the mathcentre site courtesy of Dr Martin Lavelle and Dr Robin Horan from the University of Plymouth.

### Video (1)

Maxima and Minima
In this unit we show how differentiation can be used to find the maximum and minimum values of a function. Because the derivative provides information about the gradient or slope of the graph of a function we can use it to locate points on a graph where the gradient is zero. We shall see that such points are often associated with the largest or smallest values of the function, at least in their immediate locality. In many applications, a scientist, engineer, or economist for example, will be interested in such points for obvious reasons such as maximising power, or profit, or minimising losses or costs. (Mathtutor Video Tutorial) This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

### Video with captions which require edits (1)

Maxima and Minima
In this unit we show how differentiation can be used to find the maximum and minimum values of a function. Because the derivative provides information about the gradient or slope of the graph of a function we can use it to locate points on a graph where the gradient is zero. We shall see that such points are often associated with the largest or smallest values of the function, at least in their immediate locality. In many applications, a scientist, engineer, or economist for example, will be interested in such points for obvious reasons such as maximising power, or profit, or minimising losses or costs. (Mathtutor Video Tutorial) The video is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.