\[\boxed{\mathbf{38}\mathbf{.}}\]
\[\textbf{а)}\ y = x^{11}\]
\[y^{'} = 11x^{10}.\]
\[\textbf{б)}\ y = x^{101}\]
\[y^{'} = 101x^{100}.\]
\[\textbf{в)}\ y = x^{1001}\]
\[y^{'} = 1001x^{1000}.\]