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THE DOCUMENT COVERS INTEGRATION BY PARTS WITH THE AID OF EXAMPLES
Concise collection of lecture notes and summaries on the concept(s) of Limits and Derivatives of functions
![Limits, Continuity and Differentiability](/docpics/59c63c5aa3664_353656.jpg)
![Limits, Continuity and Differentiability](https://s.s-bol.com/imgbase0/imagebase3/large/FC/8/2/7/3/1001004011173728.jpg)
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Limits, Continuity and Differentiability
- Notas de lectura • 4 páginas • 2017
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Concise summary for both beginners and intermediate students, covering: 

Limits - finding the limit of a function by first order principles; finding the limit near a point; and one sided limits; 

Continuity - definition of continuity; evaluating functions for signs of continuity;

Differentiability - determining whether a function is differentiable or not; relationship between differentiability and continuity
![Functions](/docpics/59c6853ed38bf_353728.jpg)
![Functions](https://s.s-bol.com/imgbase0/imagebase3/large/FC/8/2/7/3/1001004011173728.jpg)
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Functions
- Resumen • 6 páginas • 2017
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Concise introduction to functions: definition of a function; examples of functions; ways of representing functions; sketching graphs of functions graphically; identifying functions using the Vertical Line Test (VLT)
![Derivatives: Key Concepts](/docpics/59c67bde462f4_353722.jpg)
![Derivatives: Key Concepts](https://s.s-bol.com/imgbase0/imagebase3/large/FC/8/2/7/3/1001004011173728.jpg)
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Derivatives: Key Concepts
- Notas de lectura • 3 páginas • 2017
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Discusses important features of the derivative:

Differences between average velocity and instantaneous velocity in terms of derivatives; practical applications of the derivative; class test revision example
![Inequalities](/docpics/59c6817e4aa91_353726.jpg)
![Inequalities](https://s.s-bol.com/imgbase0/imagebase3/large/FC/8/2/7/3/1001004011173728.jpg)
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Inequalities
- Notas de lectura • 4 páginas • 2017
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Providing worked examples of inequalities; introduction to absolute values; relationship between absolute values and inequalities; sketching inequalities and absolute values (graphical representation)
![Interpretations of the Derivative](/docpics/59c6790e3e109_353717.jpg)
![Interpretations of the Derivative](https://s.s-bol.com/imgbase0/imagebase3/large/FC/8/2/7/3/1001004011173728.jpg)
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Interpretations of the Derivative
- Notas de lectura • 4 páginas • 2017
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These lecture notes cover: Revision of first and second derivatives; examples of first and second derivatives; common applications through word problems; graphing of first and second derivatives and how to find one from the other; and linear approximation
![Inverse Functions](/docpics/59c68052c9d72_353725.jpg)
![Inverse Functions](https://s.s-bol.com/imgbase0/imagebase3/large/FC/8/2/7/3/1001004011173728.jpg)
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Inverse Functions
- Notas de lectura • 3 páginas • 2017
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Introduction to Inverse Functions: Discussion of exponential and logarithmic functions as examples of inverse functions; using Vertical Line Test to check if functions are one-to-one or one-to-many; strategy for finding the inverse function; sketching of inverse functions
![New from Old Functions](/docpics/59c67f26ba007_353724.jpg)
![New from Old Functions](https://s.s-bol.com/imgbase0/imagebase3/large/FC/8/2/7/3/1001004011173728.jpg)
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New from Old Functions
- Resumen • 3 páginas • 2017
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Introducing the concept of shifting functions to produce new functions (new from old); how to shift functions; graphical and algebraic representations; combinations of functions algebraically and graphically; compositions of functions and examples
![Derivative Function](/docpics/59c67a7855c73_353720.jpg)
![Derivative Function](https://s.s-bol.com/imgbase0/imagebase3/large/FC/8/2/7/3/1001004011173728.jpg)
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Derivative Function
- Notas de lectura • 3 páginas • 2017
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Disponible en paquete
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- 2,59 €
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Basic introduction to the concept of the Derivative: 

Finding the derivative by first principles/ by the definition; graphing of original function and derivative; how to interpret original function from derivative and vice versa
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