## anonymous 4 years ago 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.

1. anonymous

just need some guidance

2. anonymous

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

3. anonymous

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

4. anonymous

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

5. anonymous

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

6. anonymous

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

7. anonymous

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