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) $\frac{d y}{d x}=\frac{4 x^{2}(2 x-y)^{2}-2 y^{2}-y}{4 x y+x-y^{2}}$

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The Answer of 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) $\frac{d y}{d x}=\frac{4 x^{2}(2 x-y)^{2}-2 y^{2}-y}{4 x y+x-y^{2}}$

Use Implicit Differentiation to Find the Derivative Of x+y22x−y=4x3\frac{x+y^{2}}{2 x-y}=4 x^{3}2x−yx+y2​=4x3

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