Application of Derivatives - Formulas and Notes - Calculus Study Guide Review

This calculus video tutorial provides notes and formulas on the application of derivatives. Examples include average rate of change, instantaneous rate of change, rolle's theorem, mean value theorem, critical points, concavity, inflections, average velocity, average acceleration, displacement, instantaneous velocity, and instantaneous acceleration.

Derivative Applications - Formula Sheet:

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Average and Instantaneous Velocity:

Instantaneous Rate of Change:

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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