1) 3 cos 4x cos 2x-3 sin 4x sin 2x=-3 2. tg(π/3-a), если sin a=1/3, π/3

f(x)\' = (tg (x) + сtg (x))’ = (tg (x))’ + (сtg (x))’ = (1 / (cos^2 (x))) + (1 / (-sin^2 (x))) = (1 / (cos^2 (x))) - (1 / (sin^2 (x))).

f(x)\' = (tg (x) – sin (x))’ = (tg (x))’ – (sin (x))’ = (1 / (cos^2 (x))) - cos (x).

f(x)\' = (cos (2x) – sin (3x))’ = (cos (2x))’ – (sin (3x))’ = (2x)’ * (cos (2x))’ – (3x)’ * (sin (3x))’ = = -2sin (2x) - 3cos (3x).

f(x)\' = (tg^3 (x))’ = (tg (x))’ * (tg^3 (x))’ = (1 / (cos^2 (x))) * 3tg^2 (x) = 3tg^2 (x) / (cos^2 (x)).