найдите производные функций:1) f(x)=cosx 2) f(x)=sinx 3) f(x)=tg(2-3x) 4) f(x)=ctg(2x-1) Вычислите

f(x) = ((sin (x))^(-1)) = (sin (x)) * ((sin (x))^(-1)) =

(cos (x)) * (-1) * ((sin (x))^(-2)) = (-cos (x)) / ((sin (x)^2).

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

f(x) = (sin (6x^4 - 2x^2 + 3)) = (6x^4 - 2x^2 + 3) * (sin (6x^4 - 2x^2 + 3)) = ((6x^4) (2x^2) + (3)) * (sin (6x^4 - 2x^2 + 3)) = (6 * 4 * x^3 2 * 2 * x + 0) * cos (6x^4 - 2x^2 + 3).

f(x) = (sin^2 (x)) = (sin (x)) * (sin^2 (x)) = cos (x) * 2 * sin^(2 1) (x) = cos (x) * 2 * sin^(1) (x) = cos (x) * 2 * sin (x) = 2cos (x) sin (x).

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))).