OML Search

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.]


Check out our most popular games!

Fraction Concoction Game:
Master fractions in the lab: mix, add, and subtract beakers to create the perfect concoction!

Fraction Concoction Game

Fact Family Game:
Complete fact families and master the link between addition & subtraction and multiplication & division.

Fact Family Game

Number Bond Garden:
Clear the board by matching number pairs that sum to ten in this garden-themed mental math puzzle.

Number Bond Garden

Online Addition Subtraction Game:
Practice your addition and subtraction skills to help the penguin find its mummy.

Online Addition Subtraction Game


OML Search


We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.