Differenciate implicitly x^3+y^2=27xy

Answer 1

I guess you want with respect to x

3 x^2 dx/dx + 2 y dy/dx = 27x dy/dx + 27 y dx/dx
but dx/dx = 1 as you know
so
3 x^2 - 27 y = (27 x - 2 y )dy/dx
so
dy/dx = (3x^2-27y)/(27x-2y)

Answer 2

Thank u very much @Anonymous

Answer 3

You are welcome.

Answer 4

9y-2x/y^2-27x