f(x) = tg(π/6 - x/2)
f ` (x) = (tg(π/6 - x/2)) ` = 1/(cos^2(π/6 - x/2)) × (π/6 - 1/2x) ` = 1/(cos^2(π/6-x/2)) × (-1/2) = - 1/2/(cos^2(π/6-x/2))
Производная сложной функции тангенс: .
f(x) = tg(π/6 - x/2)
f ` (x) = (tg(π/6 - x/2)) ` = 1/(cos^2(π/6 - x/2)) × (π/6 - 1/2x) ` = 1/(cos^2(π/6-x/2)) × (-1/2) = - 1/2/(cos^2(π/6-x/2))
Производная сложной функции тангенс:
.