Finding Absolute Maximum and Minimum Values - Absolute Extrema

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.

Introduction to Limits:
https://www.youtube.com/watch?v=YNstP0ESndU

Derivatives - Fast Review:
https://www.youtube.com/watch?v=5yfh5cf4-0w

Introduction to Related Rates:
https://www.youtube.com/watch?v=I9mVUo-bhM8

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Extreme Value Theorem:
https://www.youtube.com/watch?v=Sx2lPZlnWfs

Finding Critical Numbers:
https://www.youtube.com/watch?v=Bp9EbV3COVA

Local Maximum & Minimum:
https://www.youtube.com/watch?v=WCq3sRzsJfs

Absolute Extrema:
https://www.youtube.com/watch?v=3wrXDw5ETh4

Rolle's Theorem:
https://www.youtube.com/watch?v=LHym1ARc2cE

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Mean Value Theorem:
https://www.youtube.com/watch?v=SL2RobwU_M4

Increasing and Decreasing Functions:
https://www.youtube.com/watch?v=Dyl7jPlJXOM

First Derivative Test:
https://www.youtube.com/watch?v=G5wlKltW7pM

Concavity & Inflection Points:
https://www.youtube.com/watch?v=OhqNbQi9QPk

Second Derivative Test:
https://www.youtube.com/watch?v=G8GAsYkZlpE

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L'Hopital's Rule:
https://www.youtube.com/watch?v=Gh48aOvWcxw

Curve Sketching With Derivatives:
https://www.youtube.com/watch?v=JTVNUdL7sWs

Newton's Method:
https://www.youtube.com/watch?v=-5e2cULI3H8

Optimization Problems:
https://www.youtube.com/watch?v=lx8RcYcYVuU

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Final Exams and Video Playlists:
https://www.video-tutor.net/

Full-Length Videos and Worksheets:
https://www.patreon.com/MathSc....ienceTutor/collectio