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.

Question

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.

anonymous · Answer

just need some guidance

anonymous · Answer

$$yx^{-3}+xy^{-3}=x^2y^4$$now use product rule

anonymous · Answer

ok thanks now i can do it myself and can you define is wht exactly  Implicit Diff. is ?

anonymous · Answer

well we use implicit differentiation for finding the derivative of a function defined implicitly

anonymous · Answer

i m getting this as final answer can you check the answer please ?
 (5x^4y^7 - 4x^3)/(4y^3 - 7x^5y^6)

anonymous · Answer

for example $$y=\sin xy$$is a function defined implicitly

anonymous · Answer

ok i get it thanks but can you please check the answer ?