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I Differentiate two variables functions

  1. Sep 28, 2017 #1
    Hi,
    I am dealing with an equality of the form:
    [tex]f(x)=g(y,z)[/tex]
    and I need to compute ##dx##.
    Is the following relation correct?
    [tex]dx={(\frac{\partial f}{\partial x})}^{-1}( \frac{\partial g}{\partial y}dy + \frac{\partial g}{\partial z}dz )[/tex]

    Thank you in advance.
     
  2. jcsd
  3. Sep 28, 2017 #2

    andrewkirk

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    Yes, that's correct. Of course it breaks down at points where ##\frac{\partial f}{\partial x}## is zero, but maybe that's not in the domain of interest.
     
  4. Sep 30, 2017 #3
    Thank you!
     
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