anonymous
  • anonymous
Find dy/dx
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
sin(xy) =2x+5 through Implicity
calculusfunctions
  • calculusfunctions
How much do you know or are able to do?
calculusfunctions
  • calculusfunctions
@swin2013 do you plan on answering me or do you not want my help?

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anonymous
  • anonymous
i had to attend to other businesses. cos(xy) *(y+x*dy/dx) = 2
calculusfunctions
  • calculusfunctions
Correct! So you do know! Now solve for dy/dx.
anonymous
  • anonymous
ok... i did it right. i thought i did it wrong lol
calculusfunctions
  • calculusfunctions
Yes you differentiated correctly but now you should express dy/dx in term s of x and y. In other words, isolate dy/dx.
anonymous
  • anonymous
i got 2 - cosxy *y / -x = dy/dx
calculusfunctions
  • calculusfunctions
No, if\[(y +x \frac{ dy }{ dx })\cos (xy)=2\]then\[y \cos (xy)+x \cos (xy)\frac{ dy }{ dx }=2\] \[x \cos (xy)\frac{ dy }{ dx }=2-y \cos (xy)\] \[\frac{ dy }{ dx }=\frac{ 2-\cos (xy) }{ x \cos (xy) }\]
anonymous
  • anonymous
OH you distributed. ok i gotcha

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