## Cartesian Graphs and the Second Derivative

Cartesian Graphs and the Second Derivative
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Taught by TheMathDude

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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.
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Reviewed by MathVids Staff on July 25, 2010.