Решебник по алгебре и начала математического анализа 11 класс Колягин Задание 202

\[1)\ y = (3x + 1)^{5};\]

\[y^{'}(x) = 3 \bullet 5(3x + 1)^{4};\]

\[y^{'}(x) = 15(3x + 1)^{4}.\]

\[2)\ y = (5x - 4)^{6};\]

\[y^{'}(x) = 5 \bullet 6(5x - 4)^{5};\]

\[y^{'}(x) = 30(5x - 4)^{5}.\]

\[3)\ y = (1 - 3x)^{7};\]

\[y^{'}(x) = - 3 \bullet 7(1 - 3x)^{6};\]

\[y^{'}(x) = - 21(1 - 3x)^{6}.\]

\[4)\ y = \frac{4}{(3x - 1)^{2}};\]

\[y^{'}(x) = 4 \bullet 3 \bullet ( - 2) \bullet (3x - 1)^{- 3};\]

\[y^{'}(x) = - \frac{24}{(3x - 1)^{3}}.\]

\[5)\ y = \frac{1}{(2 - 3x)^{4}};\]

\[y^{'}(x) = - 3 \bullet ( - 4) \bullet (2 - 3x)^{- 5};\]

\[y^{'}(x) = \frac{12}{(2 - 3x)^{5}}.\]

\[6)\ y = \frac{1}{(4 - 3x)^{5}};\]

\[y^{'}(x) = - 3 \bullet ( - 5) \bullet (4 - 3x)^{- 6};\]

\[y^{'}(x) = \frac{15}{(4 - 3x)^{6}}.\]