Решебник по алгебре и начала математического анализа 11 класс Колягин Задание 208

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

\[y^{'}(x) = 5^{x} \bullet \ln 5.\]

\[2)\ y = 4^{x};\]

\[y^{'}(x) = 4^{x} \bullet \ln 4.\]

\[3)\ y = 9^{x + 2};\]

\[y^{'}(x) = 9^{x + 2} \bullet \ln 9.\]

\[4)\ y = 7^{x - 3};\]

\[y^{'}(x) = 7^{x - 3} \bullet \ln 7.\]

\[5)\ y = \log_{5}x;\]

\[y^{'}(x) = \frac{1}{x\ln 5}.\]

\[6)\ y = \log_{4}x;\]

\[y^{'}(x) = \frac{1}{x\ln 4}.\]

\[7)\ y = \lg(x - 1);\]

\[y^{'}(x) = \frac{1}{(x - 1)\ln 10}.\]

\[8)\ y = \lg(x + 3);\]

\[y^{'}(x) = \frac{1}{(x + 3)\ln 10}.\]