Решебник по алгебре и начала математического анализа 11 класс Колягин Задание 163

\[1)\ f(x) = x^{2} + x;\]

\[f^{'}(x) = 2x + 1.\]

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

\[f^{'}(x) = 2x - 1.\]

\[3)\ f(x) = 8x^{2};\]

\[f^{'}(x) = 8 \bullet 2x = 16x.\]

\[4)\ f(x) = - 27x^{2};\]

\[f^{'}(x) = - 27 \bullet 2x = - 54x.\]

\[5)\ f(x) = - 4x^{3};\]

\[f^{'}(x) = - 4 \bullet 3x^{2} = - 12x^{2}.\]

\[6)\ f(x) = 0,6x^{3};\]

\[f^{'}(x) = 0,6 \bullet 3x^{2} = 1,8x^{2}.\]

\[7)\ f(x) = 13x^{2} + 26;\]

\[f^{'}(x) = 13 \bullet 2x = 26x.\]

\[8)\ f(x) = 8x^{2} - 16;\]

\[f^{'}(x) = 8 \bullet 2x = 16x.\]