Concavity, Inflection Points, and Second Derivative
This calculus video tutorial provides a basic introduction into concavity and inflection points. It explains how to find the inflections point of a function using the second derivative and how to find the intervals where the function is concave up and concave down using a sign chart on a number line. When the second derivative is positive, the function is concave up which means the first derivative is increasing. When the second derivative is negative, the function is concave down which indicates that the first derivative is decreasing.
Introduction to Limits:
https://www.youtube.com/watch?v=YNstP0ESndU
Derivatives - Fast Review:
https://www.youtube.com/watch?v=5yfh5cf4-0w
Introduction to Related Rates:
https://www.youtube.com/watch?v=I9mVUo-bhM8
_____________________________
Extreme Value Theorem:
https://www.youtube.com/watch?v=Sx2lPZlnWfs
Finding Critical Numbers:
https://www.youtube.com/watch?v=Bp9EbV3COVA
Local Maximum & Minimum:
https://www.youtube.com/watch?v=WCq3sRzsJfs
Absolute Extrema:
https://www.youtube.com/watch?v=3wrXDw5ETh4
Rolle's Theorem:
https://www.youtube.com/watch?v=LHym1ARc2cE
________________________________
Mean Value Theorem:
https://www.youtube.com/watch?v=SL2RobwU_M4
Increasing and Decreasing Functions:
https://www.youtube.com/watch?v=Dyl7jPlJXOM
First Derivative Test:
https://www.youtube.com/watch?v=G5wlKltW7pM
Concavity & Inflection Points:
https://www.youtube.com/watch?v=OhqNbQi9QPk
Second Derivative Test:
https://www.youtube.com/watch?v=G8GAsYkZlpE
_________________________________
L'Hopital's Rule:
https://www.youtube.com/watch?v=Gh48aOvWcxw
Curve Sketching With Derivatives:
https://www.youtube.com/watch?v=JTVNUdL7sWs
Newton's Method:
https://www.youtube.com/watch?v=-5e2cULI3H8
Optimization Problems:
https://www.youtube.com/watch?v=lx8RcYcYVuU
_______________________________________
Final Exams and Video Playlists:
https://www.video-tutor.net/
Full-Length Videos and Worksheets:
https://www.patreon.com/MathSc....ienceTutor/collectio
