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!

Chain Rule for Vector Function

  1. Feb 7, 2012 #1
    1. The problem statement, all variables and given/known data

    I'm trying to figure out how to take grad(f(x(t)) where x(t) is a vector. Since it's part of a physics problem, it's assumed x(t) is in 3-dimensional space.


    3. The attempt at a solution

    My guess is that grad(f(x(t)) = ((∂f/∂x)(∂x/∂x),(∂f/∂x)(∂x/∂y),(∂f/∂x)(∂x/∂z)) but I really am not sure about this. Can anyone point me in the right direction?
     
  2. jcsd
  3. Feb 8, 2012 #2

    tiny-tim

    User Avatar
    Science Advisor
    Homework Helper

    hi zoso335! :smile:

    ∇(f(x,y,z)) = (∂/∂x(f(x,y,z)) , ∂/∂y(f(x,y,z)) , ∂/∂z(f(x,y,z)))

    = (∂f/∂x , ∂f/∂y , ∂f/∂z)​
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Chain Rule for Vector Function
Loading...