Solving Min-Max Problems Using Derivatives


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question 1 of 3

Which of the following are true statements?

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1. What is true about the derivative of a function at a maximum or minimum point of the function?

2. Suppose we found the point (3,19) to be a minimum point of the function f. What must be true about the second derivative of f evaluated at x = 3?

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About This Quiz & Worksheet

Finding the minimum point and maximum point of functions can be useful, but also a bit intimidating. Complete this short assessment to test your knowledge and skills finding the min and max points of functions.

Quiz & Worksheet Goals

This assessment was made to test your knowledge of the min and max of a function including:

  • What they are
  • How they relate to derivatives
  • Their properties
  • How to solve problems with them

Skills Practiced

Use this assessment to test your skills:

  • Information recall - access the knowledge you've gained regarding the min and max of a function, how to find them and how they're used
  • Interpreting information - verify that you can read information regarding derivatives and interpret it correctly
  • Problem solving - use acquired knowledge to examine functions

Additional Learning

If you feel you would benefit from a review of min-max problems, study the lesson Solving Min-Max Problems Using Derivatives. This lesson will provide you with an adequate review of:

  • Different types of min-max points and what they are
  • How derivatives help us find min-max points
  • Using second derivative tests to find the maxima and minima