Understanding Higher Order Derivatives Using Graphs


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question 1 of 3

If the following graph is f(x), then which graph below could be f'(x)?

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1. If the following graph is f(x), then which of the graphs below could be f''(x)?


If h(t) is the height of an object as a function of time, then which of the following statements are true about h(t)? (Assume t>0.)

A) When hitting the ground (at h(t)=0), the object's velocity is -2.

B) When hitting the ground (at h(t)=0), the object's acceleration is -2.

C) The object hits the ground at t=2.

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About This Quiz & Worksheet

Derivatives refer to a rate of change, such as velocity, height, or acceleration. This quiz/worksheet combo will check your understanding of derivatives in graphing.

Quiz & Worksheet Goals

In these assessments, you'll be tested on:

  • Finding acceleration using a graph
  • Identifying true and false statements using graphs
  • Choosing the correct value for f(x)
  • Determining what might be true about a function

Skills Practiced

This quiz and worksheet allow students to test the following skills:

  • Reading comprehension - ensure that you draw the most important information from the related lesson on derivatives
  • Problem solving - use acquired knowledge to solve derivative practice problems
  • Information recall - access the knowledge you've gained regarding higher order derivatives

Additional Learning

To learn more about derivatives, review the accompanying lesson titled Understanding Higher Order Derivatives Using Graphs. This lesson covers the following objectives:

  • Explain derivatives and what they measure
  • Provide examples of how derivative rules can be used to calculate other information
  • Discuss higher order derivatives and how those can be used
  • Demonstrate how to use second derivatives