Question

Y=tg^5*(7x-4)
Нужно найти производную Y

Answer 1

Ответ:

$y = {tg}^{5} (7x - 4)$

$y' = 5 {tg}^{4} (7x - 4) \times (tg(7x - 4))' \times (7x - 4) '= \\ = 5 {tg}^{4} (7x - 4) \times \frac{1}{ {cos}^{2} (7x - 4)} \times 7 = \\ = \frac{35 {tg}^{4} (7x - 4)}{ {cos}^{2} (7x - 4)}$