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If $u=f(y-z, \: \: z-x, \: \: x-y)$, then $\frac{ \partial u}{  \partial x} + \frac{ \partial u}{ \partial y} + \frac{ \partial u}{ \partial z} $ is equal to:

  1. $x+y+z$
  2. $1+x+y+z$
  3. $1$
  4. $0$
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