Linear Approximations Using Differentials: Definition & Examples


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What is linear approximation?

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1. What is the general formula for the equation of a line tangent to a function f(x) at the point (a, f(a))?

2. Which of the following statements is true?

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About This Quiz & Worksheet

In this quiz and worksheet combination, you can examine your knowledge of linear approximations using differentials. Questions focus on the definition of linear approximation, along with finding an approximate value in an equation of a tangent line.

Quiz & Worksheet Goals

You can discover how well you know the material with questions on these topics:

  • Defining 'linear approximation'
  • The formula for the equation of a tangent line
  • Characteristics of derivatives
  • Finding the equation of a tangent line

Skills Practiced

  • Information recall - remember what you have learned about linear approximation and its definition
  • Problem solving - use what you have learned to solve practice problems involving tangent lines
  • Defining key concepts - ensure that you can name some characteristics of derivatives

Additional Learning

To discover more, open the lesson titled Linear Approximations Using Differentials: Definition & Examples. With this lesson opened, you can get into the additional topics highlighted here:

  • Examples of finding approximations
  • Using the slope
  • Graphs of approximations