In this lesson, the instructor explains how to analyze and interpret Cartesian graphs in terms of the second derivative, which relates to acceleration and deceleration based on inflection points and concavity. Using examples and graphs, the instructor demonstrates how to distinguish regions of acceleration from regions of deceleration by looking at the concavity and inflection points in the original function. The lesson also covers how to numerically find the coordinates of an inflection point by using technology such as calculators or Wolfram Alpha.
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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