f(x)= sinx*(cosx-1)f(x) =x^2 * ctgxf(x)= cosx(1+sinx) f(x)=x^2 * tgx Отыскать производные

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 (2)) = (2) * (sin (2)) * (sin^2 (2)) = 2 * (cos (2) * 2sin (2) = 4(cos 2)(sin 2).