Linear Approximation in Calculus: Formula & Examples


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question 1 of 3

The linearization of a function g(x) at the value 5 is:

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1. Find the linearization of the function at x = 1.

2. Use a linear approximation to estimate the value of the following:

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About This Quiz & Worksheet

This quiz measures what your know about linear approximation. Many of the questions specifically involve linearization of functions.

Quiz & Worksheet Goals

Completing this quiz will prove you are able to:

  • Find linearizations
  • Use linear approximation
  • Choose correct linearizations

Skills Practiced

In addition to measuring the facts that you know, this quiz will help you improve your skills related to:

  • Reading comprehension - ensure that you draw the most important information from the related lesson on linear approximation in calculus
  • Problem solving - use acquired knowledge to solve linearization of a function practice problems
  • Information recall - access the knowledge you've gained regarding the linearization of a function at a specific value

Additional Learning

Further develop your understanding of this subject by studying the lesson that goes with this quiz, entitled Linear Approximation in Calculus: Formula & Examples. Information taught by this lesson includes:

  • The role of tangent lines in linearization
  • Determining the formula for linearization
  • Derivatives in linearization