anonymous
  • anonymous
partial derivative f(w,z) = w/(w^2+z^2)
Mathematics
schrodinger
  • schrodinger
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cruffo
  • cruffo
Are you thinking of using quotient rule or product rule for this one?
anonymous
  • anonymous
how would you use this as a product rule?
cruffo
  • cruffo
\[\large f(w,z) =\frac{w}{w^2+z^2} = w\left(w^2+z^2\right)^{-1}\]

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cruffo
  • cruffo
Though I don't think it would be much better that way. Just thought I'de get your take on it.
anonymous
  • anonymous
i think the whole point of this problem is to remind myself of quotient rule lol
cruffo
  • cruffo
:) If \(f = \dfrac{u}{v}\), then \(f' = \dfrac{u'v - uv'}{v^2}\)
anonymous
  • anonymous
yeap so then \[1(w^2+z^2)-w(2w)/ (w^2+z^2)^2\]
anonymous
  • anonymous
?
cruffo
  • cruffo
Yes. Though it can be simplified by gathering like terms in the numerator.
anonymous
  • anonymous
yeah i know
cruffo
  • cruffo
I figured you did :) But better to mention it than not.
anonymous
  • anonymous
for fz is -2zw/(w^2+z^2)^2?
zepdrix
  • zepdrix
Yah looks good for fz c:
anonymous
  • anonymous
thanks

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