(adsbygoogle = window.adsbygoogle || []).push({}); 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)

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# Homework Help: Partial Derivatives

Can you offer guidance or do you also need help?

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