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For the Minkowski question mark function $?(x)$ we consider derivative of thefunction $f_n(x) = \underbrace{?(?(...?}_\text{n times}(x)))$. Apart fromobvious cases (rational numbers for example) it is non-trivial to find explicitexamples of numbers $x$ for which $f'_n(x)=0$. In this paper we present a setof irrational numbers, such that for every element $x_0$ of this set and forany $n\in\mathbb{Z}_+$ one has $f'_n(x_0)=0$.

Derivative of the iterations of Minkowski question mark function in special points