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.

Answer 1

just need some guidance

Answer 2

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

Answer 3

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

Answer 4

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

Answer 5

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

Answer 6

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

Answer 7

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