Question

Найти производную сложной функции:
$y = 3tg (sin(4x - 2))$
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Answer 1

Ответ:

$y =3 tg( \sin(4x - 2))$

$y' = \frac{3}{ \cos {}^{2} ( \sin(4x - 2) ) } \times ( \sin(4x - 2)) ' \times (4x - 2) '= \\ = \frac{3}{ \cos {}^{2} ( \sin(4x - 2) ) } \times \cos(4x - 2) \times 4 = \\ = \frac{12 \cos(4x - 2) }{ \cos {}^{2} ( \sin(4x - 2) ) }$