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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:
_____________________________
Extreme Value Theorem:
Finding Critical Numbers:
Local Maximum & Minimum:
Absolute Extrema:
Rolle's Theorem:
________________________________
Mean Value Theorem:
Increasing and Decreasing Functions:
First Derivative Test:
Concavity & Inflection Points:
Second Derivative Test:
_________________________________
L'Hopital's Rule:
Curve Sketching With Derivatives:
Newton's Method:
Optimization Problems:
_______________________________________
Final Exams and Video Playlists:
Full-Length Videos and Worksheets:
Introduction to Limits:
Derivatives - Fast Review:
Introduction to Related Rates:
_____________________________
Extreme Value Theorem:
Finding Critical Numbers:
Local Maximum & Minimum:
Absolute Extrema:
Rolle's Theorem:
________________________________
Mean Value Theorem:
Increasing and Decreasing Functions:
First Derivative Test:
Concavity & Inflection Points:
Second Derivative Test:
_________________________________
L'Hopital's Rule:
Curve Sketching With Derivatives:
Newton's Method:
Optimization Problems:
_______________________________________
Final Exams and Video Playlists:
Full-Length Videos and Worksheets:
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