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Newest Calculus, International Metric Edition summaries

Limits, Continuity and Differentiability
  • Limits, Continuity and Differentiability

  • Class notes • 4 pages • 2017
  • Available in package deal
  • 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
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Interpretations of the Derivative
  • Interpretations of the Derivative

  • Class notes • 4 pages • 2017
  • Available in package deal
  • 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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Derivatives: Key Concepts
  • Derivatives: Key Concepts

  • Class notes • 3 pages • 2017
  • Available in package deal
  • 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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Derivative Function
  • Derivative Function

  • Class notes • 3 pages • 2017
  • Available in package deal
  • 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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Derivative at a Point
  • Derivative at a Point

  • Class notes • 2 pages • 2017
  • Available in package deal
  • 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
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