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Differentiation from first principlesIn this unit we start to explain how differentiation works. The process is known as differentiation from first principles.
(Mathtutor Video Tutorials)
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Introduction to differentiationThis leaflet provides a rough and ready introduction to differentiation. This is a technique used to calculate the gradient, or slope, of a graph at different points.
Differentiation for Economics and Business Studies Functions of One VariableOverview 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).
Introduction to differentiation 8.1This leaflet provides a rough and ready introduction to differentiation and gives some common terminology and notation. (Engineering Maths First Aid Kit 8.1) There is an accompanying podcast.
Differentiation from first principlesIn this unit we start to explain how differentiation works. The process is known as differentiation from first principles. (Mathtutor Video Tutorials) The video is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Integration as the reverse of differentiationThis unit explain integration as the reverse of differentiation. (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.
Diagnostic test in differentiation - Numbas16 questions: Product Rule, Quotient Rule and Chain Rule. For those that want a thorough testing of their basic differentiation using the standard rules. Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christian Perfect, School of Mathematics & Statistics at Newcastle University.
Differentiation of the logarithm and exponential functionsThis unit gives details of how logarithmic functions and exponential functions are differentiated from first principles. (Mathtutor Video Tutorials)
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Differentiation of the logarithm and exponential functionsThis unit gives details of how logarithmic functions and exponential functions are differentiated from first principles. (Mathtutor Video Tutorials)
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Integration as the reverse of differentiationThis unit explain integration as the reverse of differentiation. (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.
Implicit DifferentiationSometimes functions are given not in the form y=f(x) but in a more complicated form in which it is difficult or impossible to express y explicitly in terms of x.. Such functions are called implicit functions. In this unit we explain how these can be differentiated using implicit differentiation. (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.
Implicit DifferentiationSometimes functions are given not in the form y=f(x) but in a more complicated form in which it is difficult or impossible to express y explicitly in terms of x.. Such functions are called implicit functions. In this unit we explain how these can be differentiated using implicit differentiation. (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.
Parametric differentiationInstead of a function y(x) being defined explicitly in terms of the independent variable x, it is sometimes useful to
define both x and y in terms of a third variable, t say, known as a parameter. In this unit we explain how such
functions can be differentiated using a process known as parametric differentiation. (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.
Parametric differentiationInstead of a function y(x) being defined explicitly in terms of the independent variable x, it is sometimes useful to
define both x and y in terms of a third variable, t say, known as a parameter. In this unit we explain how such
functions can be differentiated using a process known as parametric differentiation. (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.
Diagnostic Test in Differentiation - Numbas26 questions: Product Rule, Quotient Rule and Chain Rule.
For those that want a thorough testing of their basic differentiation using the standard rules.
Numbas resources have been made available under a Creative Commons licence by the School of Mathematics & Statistics at Newcastle University.
Introduction to differentiation 8.1 - PodcastPodcast to accompany the Quick Reference Engineering Maths First Aid Kit leaflet 'Introduction to differentiation 8.1' submitted under Creative Commons Licence BY-NC-SA to the mathcentre Community Project by Ciaran Mac an Bhaird, National University of Ireland Maynooth and reviewed by Ann O'Shea, National University of Ireland Maynooth.
Introduction to differentiation 8.1 - PodcastPodcast to accompany the Quick Reference Engineering Maths First Aid Kit leaflet 'Introduction to differentiation 8.1' submitted under Creative Commons Licence BY-NC-SA to the mathcentre Community Project by Ciaran Mac an Bhaird, National University of Ireland Maynooth and reviewed by Ann O'Shea, National University of Ireland Maynooth.
Differentiation from first principles (powers of x)This unit looks at some basic differentiation from first principles, and in particular how to differentiate powers of x.
Applications of differentiation - maxima and minimaThis 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.
Differentiation of the logarithm and exponential functionsIn this unit the natural logarithm function and the exponential function are differentiated from first principles.
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).
Cwrs Gloywi CalcwlwsA Calculus Refresher.
This booklet revises techniques in calculus (differentiation and integration).
This is a welsh language version
Differentiation for Economics and Business Studies Functions of Multi-Variable FunctionsOverview 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).
Basic Differentiation - A RefresherThis Refresher Booklet has been designed for students who have studied an AS level course in mathematics. It enables the user to practice basic techniques.
