Question

Calculate dy/dx when xy^3 + y =3x

Answer 1

You have to use implicit derivative

dy / dx = y'

xy^3+y=3x

y^3 + 3xy^2 y' + y' = 3

[3xy^2 + 1) y'= 3 - y^3

3 - y^3
y' = ----------------- <-----------answer
3xy^2 + 1