Increasing or Decreasing Derviative from Function
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Lesson Summary:
In this lesson, students are taught to determine when the rate of change of a function is increasing or decreasing by looking at the Cartesian graph of the derivative of the function. The lesson also discusses the concept of inflection points, which are essential for determining when the derivative ceases to decrease and starts to increase, or vice versa. Students are shown examples of functions such as the logistic function and how inflection points help to separate the derivative from increasing or decreasing.
Lesson Description:
Given a Cartesian graph of the derivative of a function be able to determine when the function is increasing
and decreasing or has obtained an extrema.
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Questions answered by this video:
- How can you tell whether the derivative of a function is increasing or decreasing given a function?
- Where is the maximum or minimum of the graph of the derivative of a function?
- What does the inflection point of a graph tell you about the graph of the derivative of the function?
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Staff Review
This lesson is almost the opposite of the previous lesson. This time, you will learn how to determine whether the graph of a derivative function is increasing or decreasing during different intervals. This concept is explained very well. A logistic function is shown at the end of this lesson to drive home the idea of how the inflection point relates to the graph of the derivative function.
