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Does the gradiant change when stretching coordinates?

  1. Nov 4, 2014 #1
    1. The problem statement, all variables and given/known data

    Well, if you have given a gradiant in cartisian coordinate system? what happened to the gradiant if we stretched the coordinates by factor of 2?
    2. Relevant equations


    3. The attempt at a solution
    I think gradiant should be the same as it's the rate of change of some function.
     
  2. jcsd
  3. Nov 4, 2014 #2

    jedishrfu

    Staff: Mentor

    You could test this yourself by taking a known problem where you have the gradient and subbing in 2x for x and see how it flows through the differentiations to get the gradient.
     
  4. Nov 4, 2014 #3

    PeroK

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    If a car is travelling at x m/s, is it travelling at x mph?
     
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