This calculus video tutorial explains how to find the local maximum and minimum values of a function. In order to determine the relative extrema, you need to find the first derivative, set it equal to zero, and solve for x which represents the critical numbers of the function. You need to put these numbers on a number line and create a sign chart. According to the first derivative test, if the sign changes from - to +, it's a relative maximum. If it changes from + to -, it's a relative minimum. This video contains plenty of examples and practice problems for you to work on.

Introduction to Limits:
   • Calculus 1 - Introduction to Limits  

Derivatives - Fast Review:
   • Calculus 1 - Derivatives  

Introduction to Related Rates:
   • Introduction to Related Rates  

_____________________________
Extreme Value Theorem:
   • Extreme Value Theorem  

Finding Critical Numbers:
   • Finding Critical Numbers  

Local Maximum & Minimum:
   • Finding Local Maximum and Minimum Val...  

Absolute Extrema:
   • Finding Absolute Maximum and Minimum ...  

Rolle's Theorem:
   • Rolle's Theorem  

________________________________
Mean Value Theorem:
   • Mean Value Theorem  

Increasing and Decreasing Functions:
   • Increasing and Decreasing Functions -...  

First Derivative Test:
   • First Derivative Test  

Concavity & Inflection Points:
   • Concavity, Inflection Points, and Sec...  

Second Derivative Test:
   • Second Derivative Test  

_________________________________
L'Hopital's Rule:
   • L'hopital's rule  

Curve Sketching With Derivatives:
   • Curve Sketching - Graphing Functions ...  

Newton's Method:
   • Newton's Method  

Optimization Problems:
   • Optimization Problems - Calculus  

_______________________________________
Final Exams and Video Playlists:
https://www.video-tutor.net/

Full-Length Videos and Worksheets:
  / collections