anonymous
  • anonymous
Assume that y is a function of x . Find y' = dy/dx for y/(x^3)+x/(y^3) = x^2y^4 need help with Implicit Diff.
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
just need some guidance
anonymous
  • anonymous
\[yx^{-3}+xy^{-3}=x^2y^4\]now use product rule
anonymous
  • anonymous
ok thanks now i can do it myself and can you define is wht exactly Implicit Diff. is ?

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anonymous
  • anonymous
well we use implicit differentiation for finding the derivative of a function defined implicitly
anonymous
  • anonymous
i m getting this as final answer can you check the answer please ? (5x^4y^7 - 4x^3)/(4y^3 - 7x^5y^6)
anonymous
  • anonymous
for example \[y=\sin xy\]is a function defined implicitly
anonymous
  • anonymous
ok i get it thanks but can you please check the answer ?

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