Cartesian Graphs and the Second Derivative
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Lesson Description:
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).
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Additional Resources:
- Wolfram Alpha engine - A computation engine that can do many calculations / graphs for you as well as look up reliable information about almost anything.
- Acceleration / Deceleration Notes - Notes on acceleration / deceleration
Questions answered by this video:
- 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?
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Staff Review
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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