Тролль
Сообщение
#19659 19.10.2008, 21:26
y = (ln (7x + 4))^(tg x) = e^(ln (ln (7x + 4))^(tg x)) = e^(tg x * ln (ln (7x + 4)))
Тогда
y' = (e^(tg x * ln (ln (7x + 4))))' = e^(tg x * ln (ln (7x + 4))) * (tg x * ln (ln (7x + 4)))' =
= (ln (7x + 4))^(tg x) * ((tg x)' * ln (ln (7x + 4)) + tg x * (ln (ln (7x + 4)))') =
= (ln (7x + 4))^(tg x) * (1/cos^2 x * ln (ln (7x + 4)) + tg x * 1/ln (7x + 4) * 7/(7x + 4))