Using the First Derivative to Identify Increasing & Decreasing Functions


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question 1 of 3

The first derivative gives you which one of the following?

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1. Which is the symbol for the first derivative?

2. Which of the following is true about this graph?

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About This Quiz & Worksheet

The first derivative of a function provides us with useful information about the function's behavior. This assessment has been assembled to help individuals, like you, test your understanding of first derivatives and how to interpret them.

Quiz and Worksheet Goals

As you complete this assessment, you will test your:

  • Knowledge regarding the meaning of first derivatives
  • Ability recognizing the symbol of first derivatives
  • Skills interpreting first derivatives

Skills Practiced

Additionally, this assessment will test your abilities:

  • Information recall - access the knowledge you've gained regarding first derivatives
  • Knowledge application - use your knowledge of first derivatives to answer questions about their meaning
  • Critical thinking - apply relevant concepts to examine algebraic functions in a different light

Additional Learning

For a quick and effective review of first derivatives, be sure to complete the lesson Using the First Derivative to identify Increasing & Decreasing Functions. In this lesson, you will review the material covered in the assessment, as well as:

  • Graphical representations of functions
  • The relationship between the first derivative and the graph of a function
  • How to identify the first derivative of a function