Newtons method?

  1. 1. The problem statement, all variables and given/known data
    Find, correct to 6 decimal places, the coordinates of the points on the curve y=x^4 that are closest to the point (0,1)

    2. Relevant equations

    3. The attempt at a solution
    I am not sure if i am supposed to use newtons method or not
  2. jcsd
  3. micromass

    micromass 19,794
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    Take an arbitrary point on the curve y=x^4. This has the form (x,x^4). What is the distance between this point and (0,1)??
    You'll need to minimize this distance (or rather its square, to keep the calculations manageable).
  4. vela

    vela 12,841
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    Newton's method will certainly work. Give it a try.
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