Найдите производную функцию a) f(x)=(x^2+1/x^2)^9 б) f(x)=2/x^2-√x B) f(x)=(x^5-4/x)^11 г) fx)=1/2x+√ x

(x)\' = (x^2 * ctg (x))’ = (x^2)’ * ctg (x) + x^2 * (ctg (x))’ = 2x * ctg (x) + x^2 * (1 / (-sin^2 (x))) = 2xctg (x) - x^2 / (sin^2 (x)).

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

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))).