Tangents: Definition & Properties


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question 1 of 3

How do you find the slope of a curve at a given point?

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1. What is the slope of the following curve at the point where x=4?

2. True or False: There is a tangent for all points for all types of curves.

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About This Quiz & Worksheet

Tangent lines have many properties, and this quiz/worksheet combo will help test your understanding of how to apply the definition to examples. You will be quizzed on how to find the equation of a tangent line, interpreting graphs and solving for variables.

Quiz & Worksheet Goals

In these assessments you'll be tested on the following concepts:

  • The definition of a tangent line
  • The importance of slope and derivatives
  • Using a graph to visually display the information related to tangent lines
  • Solving for missing variables when given specific information

Skills Practiced

This quiz and worksheet allow students to test the following skills:

  • Defining key concepts- ensure that you can accurately define a tangent line
  • Making connections- use your understanding of derivatives to find the relationship between slope and tangent lines
  • Interpreting information- verify that you can view a graph of a function and identify the tangent line and other relevant information

Additional Learning

To learn more about tangents, review the accompanying lesson titled Tangents: Definition & Properties. This lesson covers the following objectives:

  • Define tangent line
  • Understand the relationship between tangent lines, slope and derivatives
  • Know how to solve for the equation of a tangent line at a given point
  • Understand how the formula for finding the tangent line is calculated
  • Apply the concepts in the lesson to determine point coordinates
  • Interpret information regarding tangent lines from a graph