Найти производную функции: а)y=(arcsin3x-cos5x+3x)27/8 б)y=4^(ln5x-2x+e^3x) в)y=tg(15x-8)/ln(14x+3) г)y=ln6корень из5x^3+1/5x^3+3

y\' = (3sin (x^9 – sin x) + 7)’ = (3sin (x^9 – sin x))’ + (7)’ = (x^9 – sin x)’ * (3sin (x^9 – sin x))’ + (7)’ = ((x^9) – (sin x)’) * (3sin (x^9 – sin x))’ + (7)’ = ((9x^8) – cos x) * 3cos (x^9 – sin x) + 0 = ((9x^8) – cos x) * 3cos (x^9 – sin x).

y\' = (ln x + x^2 * sin (1 / x))’ = (ln x)’ + (x^2 * sin (1 / x))’ = (ln x)’ + ((x^2)’ * sin (1 / x)) + (x^2 * (sin (1 / x))’ = (1 / х) + 2x * sin (1 / x) + x^2 * (-cos (1 / x)) / x^2 = (1 / х) + 2x * sin (1 / x) - (cos (1 / x)).

f(x)\' = (sin^2 (2φ))’ = (2φ)’ * (sin (2φ))’ * (sin^2 (2φ))’ = 2 * (cos (2φ) * 2sin (2φ) = 4(cos 2φ)(sin 2φ).