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Linearization of Functions

Instructions:

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

question 1 of 3

Linearize f(x) about the point x:

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1. Linearize f(x) about the point x=0:

2. Linearize f(x) about the point x:

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About This Quiz & Worksheet

Linearization refers to the process of estimating some value of a function given a different value and the derivative nearby. This quiz and worksheet combination will help you test your understanding of this concept. The quiz questions will test you on your ability to linearize functions.

Quiz & Worksheet Goals

In these assessments, you'll be tested on your ability to linearize functions about points including:

  • x=0
  • x=pi/2
  • x

Skills Practiced

This quiz and worksheet will allow you to test your skills in the following areas:

  • Reading comprehension - ensure that you draw the most important information on linearizing functions from the related lesson
  • Problem solving - use your acquired knowledge to solve practice problems involving linearization of functions
  • Information recall - access the knowledge you've gained regarding linearization and apply it to practice problems

Additional Learning

To learn more about this topic, review the accompanying lesson on linearization of functions. This lesson covers the following objectives:

  • Define linearization
  • Understand linearization as the process of estimating some value of a function given a different value and the derivative nearby
  • Demonstrate your ability to linearize functions
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