4.9 2nd Derivative Test for Concavity and Point of Inflection

12/15/2017
This calculus lesson shows you how to perform the second derivative test to verify concavity and point of inflection of the function f using the 2nd derivative. Using the 2nd derivative, it will help you analyze the function f by looking at the behavior of the 2nd derivative and its critical number
 

More Practice Exercises

This lesson shows you how to determine the interval of function f when it's concave up or concave down. The 2nd derivate test also helps you find the point of inflection of the function f. The point of inflection only exist when the concavity changes direction at the critical number.

  • 00:18 1. f(x) = x^3 – 12x – 5
  • 04:50 2. f(x) = x^5 –800x + 100

AP Calculus AB