Question

X^3+y^3=3axy find dy/dx

Answer 1

`x^3+y^3=3axy`

`(\mathrm d)/(\mathrm dx)\left[x^3+y^3\right]=(\mathrm d)/(\mathrm dx)[3axy]`

`3x^2+3y^2(\mathrm dy)/(\mathrm dx)=3a\left(y+x(\mathrm dy)/(\mathrm dx)\right)`

`\left(3y^2-3ax\right)(\mathrm dy)/(\mathrm dx)=3ay-3x^2`

`(\mathrm dy)/(\mathrm dx)=(3ay-3x^2)/(3y^2-3ax)`

`(\mathrm dy)/(\mathrm dx)=(ay-x^2)/(y^2-ax)`