найдите производную функции: 1) y=x^3 - 2x^2+x+22) y = 1/x^2 3) y = 1 / cos x 4) y = (3x^2-2) / x^35) y = tg x + 1/x

f (x) ' = ((-x^2 + 2x^2) ^3 + (x - 3) ^4) ' = ((-x^2 + 2x^2) ^3) ' + ((x - 3) ^4) ' = (-x^2 + 2x^2) ' * ((-x^2 + 2x^2) ^3) ' + (x - 3) ' * ((x - 3) ^4) ' = ((-x^2) ' + (2x^2) ') * ((-x^2 + 2x^2) ^3) ' + ((x) ' - (3) ') * ((x - 3) ^4) ' = (-2x + 4x) * (3 * (-x^2 + 2x^2) ^2) + (1 - 0) * (4 * (x - 3) ^3) = 2x * 3 * (x^2) ^2 + 1 * (4 * (x - 3) ^3) = 6x * x^4 + 4 (x - 3) ^3 = 6x^5 + 4 (x - 3) ^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))).