Copyright

Using Differentiation to Find Maximum and Minimum Values

Instructions:

Choose an answer and hit 'next'. You will receive your score and answers at the end.

question 1 of 3

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

Create Your Account To Take This Quiz

As a member, you'll also get unlimited access to over 79,000 lessons in math, English, science, history, and more. Plus, get practice tests, quizzes, and personalized coaching to help you succeed.

Try it risk-free
Try it risk-free for 30 days. Cancel anytime
Already registered? Log in here for access

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?

Create your account to access this entire worksheet
A Premium account gives you access to all lesson, practice exams, quizzes & worksheets
Access to all video lessons
Quizzes, practice exams & worksheets
Certificate of Completion
Access to instructors
Create an account to get started Create Account

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
Support