Concavity with Second Derivatives: Step-by-Step Examples!
In this video, we’ll explore how to use the second derivative to determine where a function is concave up or concave down. We’ll work through two examples: one involving a polynomial and another that offers a more mechanical challenge. Notice how this procedure is very similar to finding where a function is increasing or decreasing by using the first derivative—but here, we’ll use the second derivative to analyze concavity.
What You Will Learn:
How to use the second derivative to determine concavity.
Understanding the relationship between concavity and the second derivative.
Step-by-step examples involving both simple and challenging functions.
Comparing the process of finding concavity to finding intervals of increase and decrease.
Techniques for analyzing functions using derivatives effectively.
📚 Check out my book: 1001 Calculus Problems for Dummies for more practice!
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