已知函数y=y(x)由方程x(y)^2-sin y=0所确定，则dfrac(dy)(dx)=(,,)A、dfrac(cos y-{y)^2}(2xy)B、dfrac({y)^2}(cos y-2xy)C、dfrac({y)^2+2xy}(cos y)D、dfrac({y)^2}(cos y+2xy)

已知函数$y=y\left(x\right)$由方程$x{y}^{2}-\sin y=0$所确定，则$\dfrac{dy}{dx}=\left(\,\,\right)$

$A、\dfrac{\cos y-{y}^{2}}{2xy}$

$B、\dfrac{{y}^{2}}{\cos y-2xy}$

$C、\dfrac{{y}^{2}+2xy}{\cos y}$

$D、\dfrac{{y}^{2}}{\cos y+2xy}$