First Derivative Test

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 - Formula Sheet:

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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:

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