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Tangent lines Tangent lines 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
  • Example #2
  • Example #3
  • Example #4
  • Example #5
  • Good Luck
    OWN IT!!!!!