What is concavity of a graph

Описание: 👉 Learn how to determine the concavity of a function. A function is said to be concave up (convex) if the graph of the curve is facing upwards and the function is said to be concave down (concave) if the graph is facing down.

To test for the concavity of a function, we find the second derivatives of the function. Given a function y = f(x), the graph is concave up (convex) in the intervals where the second derivative of the function is positive. The graph is concave down (concave) in the intervals where the second derivative of the function is negative. And the graph has a point of inflection at the points where the second derivative of the function is zero.

👏SUBSCRIBE to my channel here: https://www.youtube.com/user/mrbrianm...

❤️Support my channel by becoming a member:    / @brianmclogan  

🙋‍♂️Have questions? Ask here: https://forms.gle/dfR9HbCu6qpWbJdo7

🎉Follow the Community:    / mrbrianmclogan  

Organized Videos:
✅Applications of the Derivative
   • Applications of the Derivative  
✅Determine Increasing or Decreasing Function From a Table
   • Determine Increasing or Decreasing Functio...  
✅Concavity of Functions
   • Concavity of Functions  
✅Extreme Value Theorem of Functions
   • Extreme Value Theorem of Functions  
✅First Derivative Test for Functions
   • First Derivative Test for Functions  
✅Find the Critical Values of a Function
   • Find the Critical Values of a Function  
✅Extrema, Concavity, Increasing Decreasing Intervals from a Graph
   • Extrema, Concavity, Increasing Decreasing ...  
✅Sketch the Graph of the First and Second Derivative
   • Find the Points of Inflection of a Function  
✅Find the Points of Inflection of a Function
   • Find the Points of Inflection of a Function  
✅Second Derivative Test For a Function
   • Second Derivative Test For a Function  
✅Intermediate Value Theorem of Functions
   • Intermediate Value Theorem of Functions  

🗂️ Organized playlists by classes here:    / mrbrianmclogan  

🌐 My Website - http://www.freemathvideos.com

🎯Survive Math Class Checklist: Ten Steps to a Better Year: https://www.brianmclogan.com/email-ca...

Connect with me:
⚡️Facebook -   / freemathvideos  
⚡️Instagram -   / brianmclogan  
⚡️Twitter -   / mrbrianmclogan  
⚡️Linkedin -   / brian-mclogan-16b43623  

👨‍🏫 Current Courses on Udemy: https://www.udemy.com/user/brianmclog...

👨‍👩‍👧‍👧 About Me: I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. Find more here: https://www.freemathvideos.com/about-me/

#derivatives #brianmclogan