Question

What is the slope of the tangent line of `(3x)/y-(4x^2)/(1-y)^2 =C`, where C is an arbitrary constant, at `(1,2)`?

Answer 1

I am not confident enough to derive a solution but if this is implicit differentiation I can provide you with a solution check point as output from software.
`color(red)("This part solution needs to be checked")`

Explanation:

I should imagine that upon differentiation the constant C would become 0 so you would end up with:

`(x(8xy^2-3y^3+9y^2-9y+3))/(y(8xy^2-3y^3-8xy+9y^2-9y+3))=0`