Increasing and Decreasing Functions - Calculus

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.

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