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Solve first order partial derivatives

  1. Apr 17, 2016 #1
    1. The problem statement, all variables and given/known data
    Use the Chain Rule to find the 1. order partial derivatives of g(s,t)=f(s,u(s,t),v(s,t)) where u(s,t) = st & v(s,t)=s+t
    The answer should be expressed in terms of s & t only.

    I find the partial derivatives difficult enough and now there is no numbers in the problem, which confused me even more. Hopefully someone here can help me with how to solve this.

    2. Relevant equations
    g(s,t)=f(s,u(s,t),v(s,t)) where u(s,t) = st & v(s,t)=s+t

    3. The attempt at a solution
    (I have no idea what to do with this problem)
  2. jcsd
  3. Apr 17, 2016 #2
    Partial derivatives are defined as derivatives of a function of multiple variables when all but the variable of interest are held fixed during the differentiation.
    so calculate the partial derivatives with respect to s, and u and v whwere the partial derivative with respect to s will be taken when u.v are lept constant and in turn for the other two.
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