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Applications of Derivatives - Rolle's & Mean Value Theorem, Concavity, Critical & Inflection Points,
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This calculus video tutorial focuses on applications of derivatives. It discusses formulas on average rate of change, instantaneous rate of change, slope of the secant line, tangent line, and normal line, critical points, inflection points, concavity, Rolle's theorem, mean value theorem, 1st and 2nd derivative test, l'Hôpital's rule, and newton's method.
Derivative Applications - Free Formula Sheet:
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Introduction to Limits:
Derivatives - Fast Review:
Introduction to Related Rates:
_____________________________
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:
_________________________________
L'Hôpital's Rule:
Curve Sketching with Derivatives:
Newton's Method:
Optimization Problems:
_______________________________________
Final Exams and Video Playlists:
Full-Length Videos and Worksheets:
Derivative Applications - Free Formula Sheet:
___________________________
Introduction to Limits:
Derivatives - Fast Review:
Introduction to Related Rates:
_____________________________
Extreme Value Theorem:
Finding Critical Numbers:
Local Maximum & Minimum:
Absolute Extrema:
Rolle's Theorem:
________________________________
Mean Value Theorem:
Increasing and Decreasing Functions:
First Derivative Test:
Concavity & Inflection Points:
Second Derivative Test:
_________________________________
L'Hôpital's Rule:
Curve Sketching with Derivatives:
Newton's Method:
Optimization Problems:
_______________________________________
Final Exams and Video Playlists:
Full-Length Videos and Worksheets:
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