If $z=xln(xy)+y^3,$ and $y=cos(z^2+1),$ find an expression for the $\frac{d}{dx}.$

Select one or more:

A$.1+\frac{1}{x}-2x^{2}tan(x^2+1)-3xcos(x^2+1)sin(x^2+1)$

B$.\frac{1}{x}+\frac{x}{cos(x^2+1)}sin(x^2+1)$

C$\mathrm{.}1+\frac{1}{x}-2x^{2}tan(x^2+1)-3xcos(x^2+1)sin(2x^2+2)$

E$.1+\frac{1}{x}$

D$.1$