This calculus video tutorial provides a basic introduction into the first derivative test. The first derivative test can be used to locate any relative extrema in a function. When the first derivative changes from negative to positive, a relative maximum is present. When the first derivative changes from positive to negative, a relative minimum is present. The process is simplified if you create a sign chart using a number line.
Derivative Applications - Free Formula Sheet:
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Calculus 1 Final Exam Review:
• Calculus 1 Final Exam Review
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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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