Найдите производную функции 1) y=1/sinx 2)y=1/корень из x 3) y=-x в

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))).

f(x) = (x * (x 4)) = (x) * (x 4) + x * (x 4) = (x) * (x 4) + x * ((x) (4)) = 1 * (x 4) + x * (1 0) = x 4 + x = 2x 4.

f(x)  = (3 2х) = (3) (2х) = 0 2 * 1 * x^{(1 1)} = -2 * x⁰ = -2 * 1 = -2.

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.