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Applications of derivative Question> Tangents

  1. Mar 20, 2013 #1
    2qvru34.jpg
    The motive was to find the tangent.. But I cant seem to find it.. when I plot the graph to this yperbola, I just CANT figure out how to proceed! HELP!

    PS: This question was in exams today.. If the question is missing some info, please mention -.-
     
  2. jcsd
  3. Mar 20, 2013 #2

    Dick

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    If (x,y) is a point on the hyperbola that a tangent passes through then the slope of the hyperbola there should be the same as the slope of the line passing through (x,y) and (4/3,0).
     
  4. Mar 20, 2013 #3

    ehild

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    See attachment. The tangent line passes through point P(4/3,0) and touches the curve at point Q(u,v). The slope of the line is equal to the derivative dy/dx at Q.

    ehild
     

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