If `x^5y^6=(x+y)^11` then `dy/dx` is

Explanation

`5x^4*y^6+x^5*6y^5*y'=11(x+y)^10*(1+y')`

`5x^4y^6+6x^5y^5y'=11(x^5y^6)/(x+y)(1+y')`

`5y^2+6xy'=(11xy^2)/(x+y)(1+y')`

`5y=(11xy)/(x+y)=((11xy^2)/(x+y)-6xy)y'`

`5y^3-6xy^2=(5xy^2-6x^2y)y'`

`y(5y^2-6xy)=x(5y^2-6xy)y'`

`y/x=y'`.