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Finding a Coordinate

  1. Dec 2, 2017 #1
    1. The problem statement, all variables and given/known data
    Find the coordinates of the point ##P(x,y)## on the curve ##y = \sqrt{x}## that is closest to the point ##(4,0)##.

    2. Relevant equations


    3. The attempt at a solution
    The derivative is ##y'(x) = \frac{1}{2\sqrt{x}}##. Do I then find the tangent line to ##y = \sqrt{x}##. A little help would be great!!!
     
  2. jcsd
  3. Dec 2, 2017 #2

    haruspex

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    Science Advisor
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    Gold Member

    Do you want a tangent that passes through the specified point or .... some other line?
     
  4. Dec 2, 2017 #3

    PeroK

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    ... And you need to draw a diagram.
     
  5. Dec 2, 2017 #4

    Mark44

    Staff: Mentor

    You want to minimize the distance between ##(x, \sqrt x)## and (4, 0).
     
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