  A parameter $c_0\in\mathbb C$ in the family of quadratic polynomials
$f_c(z)=z^2+c$ is a critical point of a period $n$ multiplier, if the map
$f_{c_0}$ has a periodic orbit of period $n$, whose multiplier, viewed as a
locally analytic function of $c$, has a vanishing derivative at $c=c_0$. We
prove that all critical points of period $n$ multipliers equidistribute on the
boundary of the Mandelbrot set, as $n\to\infty$.
