Question

СРОЧНО ДАМ 40 БАЛЛОВ

Найдите производную функции

Answer 1

Ответ:

$y = 3(3x - 1) {}^{2} + 7 {x}^{2} + ctg(2x - 1)$

$y '= 3 \times 2(3x - 1) \times (3x - 1)' + 7 \times 2x - \frac{1}{ \sin {}^{2} (2x - 1) } \times (2x - 1)' = \\ = 6(3x - 1) \times 3 + 14x - \frac{2}{ \sin {}^{2} (2x - 1) } = \\ = 18(3x - 1) + 14x - \frac{2}{ \sin {}^{2} (2x - 1) } = 54x - 18 + 14x - \frac{2}{ \sin {}^{2} (2x - 1) } = \\ = 68x - 18 - \frac{2}{ \sin {}^{2} (2x - 1) }$