catheline7735 catheline7735
  • 17-08-2017
  • Mathematics
contestada

Find the total differential. z = x cos(y) − y cos(x)

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LammettHash
LammettHash LammettHash
  • 18-08-2017
[tex]z=x\cos y-y\cos x[/tex]

[tex]\mathrm dz=(\cos y\,\mathrm dx-x\sin y\,\mathrm dy)-(-y\sin x\,\mathrm dx+\cos x\,\mathrm dy)[/tex]
[tex]\mathrm dz=(\cos y-y\sin x)\,\mathrm dx-(x\sin y+\cos x)\,\mathrm dy[/tex]
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