OML Search

Applications of Calculus



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

Calculus I – Lecture 16

Analyzing the Graphs of Functions I 

  • Increasing & Decreasing Functions: The 1st Derivative Applied [16 min.]
  • Functions Concave Up or Concave Down: The 2nd Derivative Applied [14 min.]
  • When Concavity Changes: Inflection Points [19 min.]
  • Logistic Growth Curves: A Brief Look [3 min.]
  • Some Exercises [14 min.]
Calculus I – Lecture 17

Analyzing the Graphs of Functions II 

  • Local Maximums & Minimums [11 min.]
  • The 1st Derivative Test for Local Maximums & Minimums [7.5 min.]
  • The 2nd Derivative Test for Local Maximums & Minimums [9.5 min.]
  • Polynomial Function Graphs [15 min.]
  • Some Exercises [17.5 min.]


Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
Mathway Calculator Widget


OML Search


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