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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. Derivative Applications - Free Formula Sheet: https://bit.ly/4eV6r1b _____________________________ Introduction to Limits:    • Calculus 1 - Introduction to Limits   Derivatives - Fast Review:    • Calculus 1 - Derivatives   Introduction to Related Rates:    • Introduction to Related Rates   _____________________________ Extreme Value Theorem:    • Extreme Value Theorem   Finding Critical Numbers:    • Finding Critical Numbers   Local Maximum & Minimum:    • Finding Local Maximum and Minimum Val...   Absolute Extrema:    • Finding Absolute Maximum and Minimum ...   Rolle's Theorem:    • Rolle's Theorem   ________________________________ Mean Value Theorem:    • Mean Value Theorem   Increasing and Decreasing Functions:    • Increasing and Decreasing Functions -...   First Derivative Test:    • First Derivative Test   Concavity & Inflection Points:    • Concavity, Inflection Points, and Sec...   Second Derivative Test:    • Second Derivative Test   _________________________________ L'Hopital's Rule:    • L'hopital's rule   Curve Sketching With Derivatives:    • Curve Sketching - Graphing Functions ...   Newton's Method:    • Newton's Method   Optimization Problems:    • Optimization Problems - Calculus   _______________________________________ Final Exams and Video Playlists: https://www.video-tutor.net/ Full-Length Videos and Worksheets:   / collections