12 videos in "Tangent Lines and Slope"
-
Rates of Change and Related Rates
-
Tangent Lines and Velocity
-
Derivatives and Tangent Lines 1
-
Derivatives and Tangent Lines 2
-
Derivatives and Tangent Lines 3
-
Derivatives and Tangent Lines 4
-
![[C.1] AROC - Part 1 - in a table preview image](http://pi.mathvids.com/thumbs/1284-1.jpg)
[C.1] AROC - Part 1 - in a table
-
![[C.1] AROC - Part 2 - with difference quotient preview image](http://pi.mathvids.com/thumbs/1285-1.jpg)
[C.1] AROC - Part 2 - with difference quotient
-
Secant Line and AROC
-
Definition of the Derivative Part 1
-
Definition of the Derivative Part 2
-
IROC vs AROC
IROC vs AROC
IROC vs AROC
779 views - 00:06:17
Part of video series Rate of Change of Relationships / Functions
Check out www.themathdude.org for more videos.
Given a Cartesian graph of a function be able to compare instantaneous rates of change with average rates of change.
- What is the difference between average rate of change and instantaneous rate of change?
- When does a tangent line for a curve cross or pass through the curve?
- When is instantaneous rate of change larger than average rate of change?
This lesson explains the difference between instantaneous rate of change and average rate of change. You will see the graph of a function and compare the average rate of change between two points and the instantaneous rate of change at a point in between the endpoints for the average rate of change. This is a very interesting lesson.
