This calculus video tutorial provides a basic introduction into curve sketching. it explains how to graph polynomial functions using the signs of the first derivative and the second derivative of a function. You need to identify the critical numbers and potential inflection points in addition to the concavity of the graph. You need to combine the sign charts of the first derivative and second derivative into one single sign chart using a number line. This will help you to get the right shape of the graph. It's helpful to identify any x-intercepts in the function as well as the y-coordinates of the relative maximum and relative minimum. This will help you to draw an accurate sketch.
Derivative Applications - Free Formula Sheet:
https://bit.ly/4eV6r1bCalculus 1 Final Exam Review:
https://www.youtube.com/watch?v=WmBzmHru78w___________________________
Introduction to Limits:
https://www.youtube.com/watch?v=YNstP0ESndUDerivatives - Fast Review:
https://www.youtube.com/watch?v=5yfh5cf4-0wIntroduction to Related Rates:
https://www.youtube.com/watch?v=I9mVUo-bhM8_____________________________
Extreme Value Theorem:
https://www.youtube.com/watch?v=Sx2lPZlnWfsFinding Critical Numbers:
https://www.youtube.com/watch?v=Bp9EbV3COVALocal Maximum & Minimum:
https://www.youtube.com/watch?v=WCq3sRzsJfsAbsolute Extrema:
https://www.youtube.com/watch?v=3wrXDw5ETh4Rolle's Theorem:
https://www.youtube.com/watch?v=LHym1ARc2cE________________________________
Mean Value Theorem:
https://www.youtube.com/watch?v=SL2RobwU_M4Increasing and Decreasing Functions:
https://www.youtube.com/watch?v=Dyl7jPlJXOMFirst Derivative Test:
https://www.youtube.com/watch?v=G5wlKltW7pMConcavity & Inflection Points:
https://www.youtube.com/watch?v=OhqNbQi9QPkSecond Derivative Test:
https://www.youtube.com/watch?v=G8GAsYkZlpE_________________________________
L'Hopital's Rule:
https://www.youtube.com/watch?v=Gh48aOvWcxwCurve Sketching With Derivatives:
https://www.youtube.com/watch?v=JTVNUdL7sWsNewton's Method:
https://www.youtube.com/watch?v=-5e2cULI3H8Optimization Problems:
https://www.youtube.com/watch?v=lx8RcYcYVuU_______________________________________
Final Exams and Video Playlists:
https://www.video-tutor.net/Full-Length Videos and Worksheets:
https://www.patreon.com/MathScienceTutor/collectionsAbout the Site 🌐
This site provides links to random videos hosted at YouTube, with the emphasis on random. 🎥
Origins of the Idea 🌱
The original idea for this site stemmed from the need to benchmark the popularity of a video against the general population of YouTube videos. 🧠
Challenges Faced 🤔
Obtaining a large sample of videos was crucial for accurate ranking, but YouTube lacks a direct method to gather random video IDs.
Even searching for random strings on YouTube doesn't yield truly random results, complicating the process further. 🔍
Creating Truly Random Links 🛠️
The YouTube API offers additional functions enabling the discovery of more random videos. Through inventive techniques and a touch of space-time manipulation, we've achieved a process yielding nearly 100% random links to YouTube videos.
About YouTube 📺
YouTube, an American video-sharing website based in San Bruno, California, offers a diverse range of user-generated and corporate media content. 🌟
Content and Users 🎵
Users can upload, view, rate, share, and comment on videos, with content spanning video clips, music videos, live streams, and more.
While most content is uploaded by individuals, media corporations like CBS and the BBC also contribute. Unregistered users can watch videos, while registered users enjoy additional privileges such as uploading unlimited videos and adding comments.
Monetization and Impact 🤑
YouTube and creators earn revenue through Google AdSense, with most videos free to view. Premium channels and subscription services like YouTube Music and YouTube Premium offer ad-free streaming.
As of February 2017, over 400 hours of content were uploaded to YouTube every minute, with the site ranking as the second-most popular globally. By May 2019, this figure exceeded 500 hours per minute. 📈
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