Finding Local Maximum and Minimum Values of a Function - Relative Extrema

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This calculus video tutorial explains how to find the local maximum and minimum values of a function. In order to determine the relative extrema, you need to find the first derivative, set it equal to zero, and solve for x which represents the critical numbers of the function. You need to put these numbers on a number line and create a sign chart. According to the first derivative test, if the sign changes from - to +, it's a relative maximum. If it changes from + to -, it's a relative minimum. This video contains plenty of examples and practice problems for you to work on.

Introduction to Limits:


Derivatives - Fast Review:


Introduction to Related Rates:


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Extreme Value Theorem:


Finding Critical Numbers:


Local Maximum & Minimum:


Absolute Extrema:


Rolle's Theorem:


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Mean Value Theorem:


Increasing and Decreasing Functions:


First Derivative Test:


Concavity & Inflection Points:


Second Derivative Test:


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L'Hopital's Rule:


Curve Sketching With Derivatives:


Newton's Method:


Optimization Problems:


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Final Exams and Video Playlists:


Full-Length Videos and Worksheets: