Increasing and Decreasing Functions - Calculus

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This calculus video tutorial provides a basic introduction into increasing and decreasing functions. This video explains how to use the first derivative and a sign chart to determine the intervals where the function is increasing and decreasing and how to express the answer using interval notation with the help of a number line. The function is increasing whenever the first derivative is positive or greater than zero. The function is decreasing whenever the first derivative is negative or less than zero.

Derivative Applications - Free Formula Sheet:


Functions - Free 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: