Question

Найдите производную данной функции

Answer 1

Ответ:

$y = \frac{1}{ \sin {}^{4} (10x) } = {( \sin(10x) )}^{ - 4}$

$y' = - 4 {( \sin(10x) )}^{ - 5} \times ( \sin(10x)) ' \times (10x)' = \\ = - \frac{4}{ \sin {}^{5} (10x) } \times \cos(10x) \times 10 = \\ = - \frac{10 \cos(10x) }{ \sin {}^{5} (10x) }$