Using Differentiation to Find Maximum and Minimum Values


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question 1 of 3

What is the value of x at the finite local minimum for the function f(x) = 2x^3 - 3x^2?

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1. What is value of y at the finite local maximum for the function f(x) = 2x^3 - 3x^2?

2. Where is the global maximum for the function f(x) = sin((pi)x) between x=0 and x=2?

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About This Quiz & Worksheet

Using this quiz and worksheet, you can evaluate how well you understand maximum and minimum values. The quiz will assess your understanding of concepts like using functions and calculating for extrema.

Quiz & Worksheet Goals

Use these assessment tools to check your ability to do the following:

  • Find the value of 'x' and 'y' at a finite local minimum and finite local maximum
  • Identify global maximum and global minimum in a given function

Skills Practiced

This worksheet and quiz let you practice the following skills:

  • Critical thinking - apply relevant concepts to examine information about extrema in a different light
  • Problem solving - use acquired knowledge to solve finite local minimum and finite local maximum practice problems
  • Interpreting information - verify that you can read information regarding global minimum and global maximum functions and interpret it correctly
  • Knowledge application - use your knowledge to answer questions about finding extreme values with functions

Additional Learning

To learn more about using differentiation to find maximum and minimum values, review the lesson, which covers the following objectives:

  • Define extrema
  • Understand how to find derivatives of global points on a graph
  • Use functions to find extrema
  • Find critical points in the function
  • Calculate value of function at two critical points and both ends