👉 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.

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Organized Videos:
✅Applications of the Derivative
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMrcSuJvgrXcmzJtTCnRonNf
✅Determine Increasing or Decreasing Function From a Table
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMr9j-FdiaerwTUCNPbq60YU
✅Concavity of Functions
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMpimVpMRNk9RoMqU1Bnc3QX
✅Extreme Value Theorem of Functions
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMqZb_T6ISeUVqck6A9q47C9
✅First Derivative Test for Functions
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMrrDgvZOhP7cNPKA-x7CFji
✅Find the Critical Values of a Function
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMrIH6aTbIadngG-1VdBP6mU
✅Extrema, Concavity, Increasing Decreasing Intervals from a Graph
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMqfmQ6mK3Aa9ZqaxU1l7AtM
✅Sketch the Graph of the First and Second Derivative
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMphsk2sW7h6zCmoY-VF1ID3
✅Find the Points of Inflection of a Function
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMphsk2sW7h6zCmoY-VF1ID3
✅Second Derivative Test For a Function
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMqvfbGFMscX_3JoYmanH-6a
✅Intermediate Value Theorem of Functions
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMpC61uxuKi7KlgsE0y-48bR

🗂️ Organized playlists by classes here: https://www.youtube.com/user/MrBrianMcLogan/playlists

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👨‍👩‍👧‍👧 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/

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