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How to Find Intervals of Concavity for Functions (Calculus Lesson 24) ➡️ Download My Free Calculus 1 Worksheets: https://www.jkmathematics.com/calculu... 🖥️ Join My Membership Site: https://www.jkmathematics.com/plus In this lesson we learn about concavity of functions. We look what makes a function concave upward or downward, and what that says about the slope of the function as well as the second derivative of the function. We look at concavity of functions visually on graphs, and then finish by finding the intervals of concavity for functions analytically. We also talk about points of inflection along the way, discussing how they are points where the concavity of a function changes. This course is designed to help students understand the concepts of calculus at a grounded level. No long, boring, and unnecessary explanations, just what you need to know at a reasonable and digestible pace, with each lesson under 20 minutes! Calculus requires a solid understanding of precalculus and algebra concepts and techniques including factoring, equation manipulation, trigonometric equations, logarithms, finding slope, graphing, and many more. If you are not familiar with these prerequisite topics, be sure to learn them first! Video Chapters: 0:00 What is Concavity? - Concave Upward 1:56 What is Concavity? - Concave Downward 4:31 Example - Finding Intervals of Concavity Visually 8:58 Points of Inflection 10:13 Inflection Point Where Second Derivative Does Not Exist 11:20 A Point That is Not an Inflection Point Where Second Derivative is 0 12:30 Concavity & Continuity 14:28 Example - Finding Intervals of Concavity Analytically 📝 Examples Video: • Intervals of Concavity Examples | Calculus... ⏩ Next Lesson: • Second Derivative Test | Calculus Lesson 2... 📺 Course Playlist: • Calculus 1 🌐 Visit My Website: https://www.jkmathematics.com ⚡️Math Products I Recommend⚡️ Graphing Calculator: https://amzn.to/3XuUcB9 Non-Graphing Calculator: https://amzn.to/46hHJ7E Financial Calculator: https://amzn.to/3CRe9s4 Graphing Paper: https://amzn.to/46mAfAr College Rule Paper: https://amzn.to/3NOJaTN My Favorite Pencil: https://amzn.to/3NOFMIB My Favorite Erasers: https://amzn.to/3PumUQB Calculus Workbook: https://amzn.to/3r8SnNP ⚡️Textbooks I Use⚡️ Calculus 1 & 2: https://amzn.to/3PzfI5F Calculus 3: https://amzn.to/46rSy76 Financial Mathematics: https://amzn.to/3ppIVW0 ⚡️My Recording Equipment⚡️ iPad Air: https://amzn.to/3phEug1 Apple Pencil (Gen 2): https://amzn.to/3Nl45MM Tablet Desk Stand: https://amzn.to/4420rPh External Hardrive: https://amzn.to/44pkEyh (Commissions earned on qualifying purchases) Find me on social media: Facebook: / jkmathematics Twitter: / jk_mathematics Instagram: @jk_mathematics Found this video to be helpful? Consider giving this video a like and subscribing to the channel! Thanks for watching! Any questions? Feedback? Leave a comment! -Josh from JK Math #calculus Disclaimer: Please note that some of the links associated with the videos on my channel may generate affiliate commissions on my behalf. As an amazon associate, I earn from qualifying purchases that you may make through such affiliate links.