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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
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Limits, Continuity and Differentiability
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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; Differentiabilit...
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Add to cartConcise 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; Differentiabilit...
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Interpretations of the Derivative
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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
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Add to cartThese 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
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Derivative Function
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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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Add to cartBasic 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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Derivatives: Key Concepts
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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
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Add to cartDiscusses 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
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Derivative at a Point
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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...
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Add to cartCompares 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...
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