Tangent Line: Definition & Equation


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question 1 of 3

If f '(4) = 3 and f(4) = -1, what is the equation of the tangent line to f(x) at x = 4?

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1. If f(-6) = 3, and f '(-6) = 1/2 , what is the equation of the tangent line to f(x) at x = -6?

2. What is the slope of the tangent line to f(x) = x^3 at x = -2 ?

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About This Quiz & Worksheet

These assessments will test your understanding of tangent lines, conceptually and mathematically. To score well, you will have to be able to use the equation of a tangent line and interpret a graph.

Quiz & Worksheet Goals

The assessments will test you on:

  • Relationships between the secant line, slope, and tangent line
  • Equation of the tangent line formula
  • Rules related to tangent lines

Skills Practiced

You should expect to apply the following skills:

  • Problem solving- use acquired knowledge to solve for the equation of the tangent line when given specific information
  • Making connections- use your understanding of slope to find the equation of a tangent line
  • Interpreting information- verify that you can view a graph related to tangent lines and interpret it correctly

Additional Learning

After reviewing these assessments, if you want to further challenge yourself, see the accompanying lesson Tangent Line: Definition & Equation. The lesson details these objectives:

  • Define tangent line, secant line and slope
  • Interpret information regarding tangent lines from a graph
  • Understand the concepts of limit and difference quotient