1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Newtons method?

  1. Nov 15, 2010 #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. Nov 15, 2010 #2


    User Avatar
    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. Nov 15, 2010 #3


    User Avatar
    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 thread via Reddit, Google+, Twitter, or Facebook

Have something to add?

Similar Discussions: Newtons method?
  1. Newton's method (Replies: 6)

  2. Newton's method (Replies: 10)

  3. Newton's method (Replies: 3)

  4. Newton's Method (Replies: 3)

  5. Newton method (Replies: 3)