Use Implicit Differentiation to Find the Derivative Of $\frac{x+y^{2}}{2 x-y}=4 x^{3}$

Multiple Choice

Use implicit differentiation to find the derivative of $\frac{x+y^{2}}{2 x-y}=4 x^{3}$ .

A) $\frac{d y}{d x}=\frac{24 x^{3}-12 x^{2} y+2 y^{2}}{y^{2}-x-4 x y}$
B) $\frac{d y}{d x}=\frac{4 x^{2}(2 x-y) ^{2}-y^{2}}{4 x y+y^{2}-x}$
C) $\frac{d y}{d x}=\frac{12 x^{2}(2 x-y) ^{2}+2 y^{2}+y}{4 x y+x-y^{2}}$
D) $\frac{d y}{d x}=\frac{4 x^{2}(2 x-y) ^{2}-2 y^{2}-y}{4 x y+x-y^{2}}$