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Calc Question: Tangent Lines

  1. Oct 24, 2005 #1
    I'm royally confused... dont even know where to start..

    Find the point(s) on the graph of y = 1/x where the tangent line is parallel to 4x + 9y = 3. The m of 4x + 9y = 3 is -4/9 and sadly, thats all i know...
     
  2. jcsd
  3. Oct 24, 2005 #2
    can someone please help me?
     
  4. Oct 24, 2005 #3
    First of all, what is the derivative of 1/x. Do you know how to calculate this? Remember that the derivative at some point x0 is the slope of the graph at that point.
     
  5. Oct 24, 2005 #4
    hi. the derivative of 1/x = -1/ x^2, i believe.
     
  6. Oct 24, 2005 #5
    what do i do next? do i just graph the two equations?
     
  7. Oct 24, 2005 #6

    HallsofIvy

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    Staff Emeritus
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    You mean as opposed to actually answering the question??

    The problem, as you posted it, "Find the point(s) on the graph of y = 1/x where the tangent line is parallel to 4x + 9y = 3."

    You know that the slope of 4x+ 9y= 3 is -4/9, you know that the derivative of y= 1/x at any x is y'= -1/x2 and you know, because apmcavoy just told you, that the derivative at a point is the slope of the tangent line there. For what x is the derivative equal to -4/9?
     
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