- #1
Amrator
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Homework Statement
Suppose ω = g(u,v) is a differentiable function of u = x/y and v = z/y.
Using the chain rule evaluate $$x \frac{\partial ω}{\partial x} + y \frac {\partial ω}{\partial y} + z \frac {\partial ω}{\partial z}$$
Homework Equations
The Attempt at a Solution
u = f(x,y)
v = h(y,z)
∂ω/∂x = (∂ω/∂u)(∂u/∂x)
∂ω/∂y = (∂ω/∂u)(∂u/∂y)
∂ω/∂z = (∂ω/∂v)(∂v/∂z)
Is this correct so far? Because I don't know how I would take the partials w.r.t. u and v.