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Applications of Calculus



A series of free Calculus Video Lessons from UMKC - The University of Missouri-Kansas City.

Calculus I – Lecture 18

Analyzing the Graphs of Functions III 

  • What to Look For in a Graph [2 min.]
  • Rational Function Graphs [19.5 min.]
  • Functions Whose Graphs have Vertical Tangents or Cusps [16 min.]
  • Some Exercises [18.5 min.]
Calculus I – Lecture 19

Analyzing the Graphs of Functions IV 

  • Global Maximums & Minimums [4.5 min.]
  • Global Extrema on (finite) Closed Intervals [10 min.]
  • Global Extrema on (finite or infinite) Open Intervals [13 min.]
  • When a Single Local Extremum must be Global [4.5 min.]
  • Some Exercises [12 min.]


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Fraction Concoction Game


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