Implicit Differentiation The Chain Rule discussed in Section $11\mathrm{.}5$ can be used to give a more complete description of the process of implicit differentiation that was introduced in Calc AB$!$

$($a$)(2$ points$)$ Find $\frac{dy}{dx}($or $y^{\text{'}})$ of $y^5+x^2{y}^3=1+y{e}^{x^2}.($This is just a Calc AB review $)$