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Tangent lines PowerPoint
 

Tangent lines PowerPoint

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    Tangent lines PowerPoint Tangent lines PowerPoint Presentation Transcript

    • By: Zach Huyber
      Period 4
      AP Calculus
      Tangent Lines
    • What is a Tangent Line?
      The tangent line to a curve at a given point is the straight line that "just touches" the curve at that point
    • Tangent line compared to Secant Line
      A Tangent line touches the curve at just one point unlike a secant line which touches the graph at two points
      The slope of a tangent line is a instantaneous slope at one point and a secant lines slope is a approximation or sort of a line of best fit.
    • Why do we need Tangent lines?
      We use tangent lines to find the slope of a graph at one particular point in order to get that points instantaneous velocity or acceleration.
    • Vertical Tangent Line
      A vertical tangent line is a line with a infinite or undefined slope, therefore this is an indication of a point that is not differentiable
      Not Differentiable
    • How to Find a Tangent Line at a given point
    • Example #1
      For work and answers refer to PowerPoint problems explained document on powerpoint page
    • Example #2
      For work and answers refer to PowerPoint problems explained document on powerpoint page
    • Example #3
      For work and answers refer to PowerPoint problems explained document on powerpoint page
    • Example #4
      For work and answers refer to PowerPoint problems explained document on powerpoint page
    • Example #5
      For work and answers refer to PowerPoint problems explained document on powerpoint page
    • Good Luck
      OWN IT!!!!!