Question

derivative of (2y-x)/((y^2)-3)

Answer 1

Quotient rule--and implicit differentiation.
\[[(y ^{2}-3)(2y' - 1) - (2y - x)(2yy')]/(y ^{2}-3)^{2}\]. From there, multiply out the numerator and solve for y' to get your expression. (I can't complete the answer without the full expression, because the implicit expression would need to be an equation to allow you to solve for y').