$K,$ Find $\frac{dy}{dx}$ by implicit differentiation.

$4x^3{y}^4-x+y^2=16$

Select the correct choice below and fill in the answer box$($es$)$ to complete your choice.

A$.\frac{dy}{dx}=$ with $0$

B$.\frac{dy}{dx}=$ for all real values of $x$ and $y$