anonymous
  • anonymous
Find dy/dx by implicit differentation: 5+3x=sin(xy^7)
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
what have you got so far? do you know how to differentiate implicitly?
anonymous
  • anonymous
I don't even know how to start.. My professor has a very strong accent and I was completely lost during the lecture today.
anonymous
  • anonymous
what is written xy power????

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anonymous
  • anonymous
\[5+3x=\sin(xy^7)\]
anonymous
  • anonymous
ok....just wait for answer
anonymous
  • anonymous
I don't want the answer. I want to know how to do it.
anonymous
  • anonymous
If you want some help actually understanding implicit differentiation and not just an answer then check these out: http://www.khanacademy.org/math/calculus/differential-calculus/v/implicit-differentiation http://tutorial.math.lamar.edu/Classes/CalcI/ImplicitDIff.aspx
anonymous
  • anonymous
thank you!
anonymous
  • anonymous
i find Paul's Online Notes and Khan Academy to be the best at teaching things online :) goodluck :)
anonymous
  • anonymous
5+3x=sin(xy7) taking derivative on both sides 3=cos(xy7)(x.d/dx(y7).d/dx(y))+y) 3=cos(xy7)(x7y6.dy/dx+y) 3-ycos(xy7)=cos(xy7)(x7y6.dy/dx) dy/dx=3-ycos(xy7)/cos(xy7)7xy6

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