27 videos in "Derivatives / Rules of Derivatives"
-
Introduction to Derivatives
-
The Derivative
-
Calculation of Derivatives
-
Derivatives of Trigonometric Functions
-
Leibniz Notation and the Chain Rule
-
Rectilinear Motion
-
Higher-Order Derivatives
-
Critical Numbers and the First Derivative Test
-
Concavity and the Second Derivative Test
-
The Power Rule
-
Derivatives Part 1
-
Derivatives Part 2
-
Derivatives Part 3
-
![[C.2] Numerical Derivative preview image](http://pi.mathvids.com/thumbs/1286-1.jpg)
[C.2] Numerical Derivative
-
![[C.3] Elasticity preview image](http://pi.mathvids.com/thumbs/1287-1.jpg)
[C.3] Elasticity
-
Derivative of a Sum-Product-Quotient-Composition
-
Sign of Derivative and Increasing or Decreasing
-
Increasing or Decreasing Derviative from Function
-
Cartesian Graphs and the Second Derivative
-
Excel Project 1 - Acceleration of Sales
-
Notations and Power Rule
-
Chain Rule
-
Derivative of Exponential
-
Max and Min
-
Elasticity Part 1
-
Elasticity Part 2
-
Elasticity Part 3 - Calculator
Cartesian Graphs and the Second Derivative
Cartesian Graphs and the Second Derivative
805 views - 00:17:25
Part of video series Rate of Change of Relationships / Functions
Check out www.themathdude.org for more videos.
Be able to analyze and interpret Cartesian graphs of a function in terms of the second derivative (i.e. acceleration or deceleration based on inflection points and concavity).
- Acceleration / Deceleration Notes - Notes on acceleration / deceleration
- Wolfram Alpha engine - A computation engine that can do many calculations / graphs for you as well as look up reliable information about almost anything.
- How do you analyze and interpret the Cartesian graph of a function in terms of its second derivative?
- What is an inflection point of a graph?
- What are acceleration and deceleration of a function?
- How can you tell from the second derivative of a function where the function is accelerating and decelerating?
- What does the second derivative of a function tell you?
- How can you find the location of an inflection point of a function from its second derivative?
- How can you take the numerical derivative of a function on a TI graphing calculator?
- How can you graph a function and its derivative on a TI graphing calculator?
This lesson shows you the second derivative of a function and takes some information from this second derivative to learn something about the original function. This is a great tutorial on learning concepts from the second derivative of a function. Two different functions and their derivatives and second derivatives are examined.
