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Let $\Omega \in \mathbb{C}$ be a domain such that $K:= \mathbb{C} \setminus\Omega$ is compact and non-polar. Let $g_\Omega$ be the Green's function with alogarithmic pole at infinity, and let $\omega = \omega_K$ be the equilibriumdistribution on $K$. Let $(q_k)_{k>0}$ be a sequence of polynomials with $n_k$,the degree of $q_k$ satisfying $n_k \to \infty$, and let $(q_k^m)_k$ denote thesequence of $m$-th derivatives. We provide conditions, which ensure that thepreimages $(q_k^m)^{-1}(\{a\})$ uniformly equidistribute on $\partial \Omega$,as $k \to \infty$, for every $a \in \mathbb{C}$ and every $m = 0, 1, \ldots$

Value Distributions of Derivatives of $K$-regular Polynomial Families