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 20,069
    Staff Emeritus
    Science Advisor
    Education Advisor

    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 12,972
    Staff Emeritus
    Science Advisor
    Homework Helper
    Education Advisor

    Newton's method will certainly work. Give it a try.
Know someone interested in this topic? Share this thead via email, Google+, Twitter, or Facebook

Have something to add?
Similar discussions for: Newtons method?