Решебник по алгебре и начала математического анализа 10 класс Алимов Задание 787

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\[1)\ f(x) = x^{6}\]

\[f^{'}(x) = \left( x^{6} \right)^{'} = 6x^{6 - 1} = 6x^{5}\]

\[2)\ f(x) = x^{7}\]

\[f^{'}(x) = \left( x^{7} \right)^{'} = 7x^{7 - 1} = 7x^{6}\]

\[3)\ f(x) = x^{11}\]

\[f^{'}(x) = \left( x^{11} \right)^{'} = 11x^{11 - 1} = 11x^{10}\]

\[4)\ f(x) = x^{13}\]

\[f^{'}(x) = \left( x^{13} \right)^{'} = 13x^{13 - 1} = 13x^{12}.\]