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:
• Calculus 1 Introduction to Limits
Derivatives Fast Review:
• Calculus 1 Derivatives
Introduction to Related Rates:
• Introduction to Related Rates
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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
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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
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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
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