This calculus video tutorial explains how to find the absolute maximum and minimum values of a function on a closed interval. Tto find the absolute extrema, you need to find the relative extrema by finding the first derivative of the function and the critical numbers. Plot the critical numbers on a number line to create sign chart. Using the sign chart and the first derivative test, determine what type of relative extrema is present - if it's a relative maximum or a relative minimum. Next, place the critical numbers and the endpoints of the closed interval into an x y data table and compare the y values. The absolute maximum contains highest y value, and the absolute minimum has the lowest y value.
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_______________________________________
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https://www.patreon.com/MathScienceTutor/collectionsAbout the Site 🌐
This site provides links to random videos hosted at YouTube, with the emphasis on random. 🎥
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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.
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