Mkmaus97
2nd year Mechanical Engineering student
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Chapter 2: Limits and Derivatives
Concise collection of lecture notes and summaries on the concept(s) of Limits and Derivatives of functions
- Package deal
- • 5 items •
- Limits, Continuity and Differentiability • Class notes
- Interpretations of the Derivative • Class notes
- Derivative Function • Class notes
- Derivatives: Key Concepts • Class notes
- Derivative at a Point • Class notes
Concise collection of lecture notes and summaries on the concept(s) of Limits and Derivatives of functions
Derivative at a Point
Compares the derivative at a point with that of the derivative over a distance; provides the definition of the derivative (the formula for finding the derivative of any function; provides graphical examples illustrating the derivative at a point and the derivative over a distance; provides and works through in-depth examples of finding derivative using first pricniples
- Book & Paket-Deal
- Class notes
- • 2 pages •
Compares the derivative at a point with that of the derivative over a distance; provides the definition of the derivative (the formula for finding the derivative of any function; provides graphical examples illustrating the derivative at a point and the derivative over a distance; provides and works through in-depth examples of finding derivative using first pricniples
Derivatives: Key Concepts
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
- Book & Paket-Deal
- Class notes
- • 3 pages •
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
Derivative Function
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
- Book & Paket-Deal
- Class notes
- • 3 pages •
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
Interpretations of the Derivative
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
- Book & Paket-Deal
- Class notes
- • 4 pages •
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
Limits, Continuity and Differentiability
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
- Book & Paket-Deal
- Class notes
- • 4 pages •
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
Limits, Continuity and Differentiability