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Partial Derivatives

  1. Oct 23, 2007 #1
    1. The problem statement, all variables and given/known data

    (Q) Express vx in terms of u an v if the equations x = v ln(u) and y = u ln(v) define u and v as functions of the independent variables x and y, and if vx exists. (Hint: Differentiate both equations with respect to x and solve for vx by eliminating ux.

    2. Relevant equations

    3. The attempt at a solution

    I got to the following two equations but don't know how to proceed from there.

    1= v/u (u_x )+ln⁡(u) (v_x)

    ∂y/∂x=u/v (v_x )+ln⁡(v) (u_x)
  2. jcsd
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