Cartesian Graphs and the Second Derivative

Cartesian Graphs and the Second Derivative
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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).
  • 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.
  • Currently 4.0/5 Stars.
Reviewed by MathVids Staff on July 25, 2010.
 
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