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Mathematics 12 Online
OpenStudy (doc.brown):

Find du/dy where u=wx/yz

OpenStudy (doc.brown):

\[u=\frac{wx} {yz} \]

OpenStudy (rainbow_rocks03):

PLZ HELP ME.

OpenStudy (doc.brown):

I'm starting to think\[u=wxy^{-1}z^{-1}\\\frac{du}{dy}=wxz^{-1}\times1\times y^{-1-1}\\\frac{du}{dy}=\frac{wx}{y^2z}\]Could this be right?

OpenStudy (michele_laino):

please note that we have: \[\frac{d}{{dy}}\left( {\frac{1}{y}} \right) = - \frac{1}{{{y^2}}}\]

OpenStudy (michele_laino):

or: \[\frac{d}{{dy}}\left( {\frac{1}{y}} \right) = \frac{d}{{dy}}\left( {{y^{ - 1}}} \right) = - 1 \cdot {y^{ - 1 - 1}} = - {y^{ - 2}}\]

OpenStudy (doc.brown):

ah HA! Yes, that's what I missed. Thanks @Michele_Laino!

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