1 f(x)=sin x -cos x 2 f(x)=tg x-4 ctg x 3 f(x)=4x-sinx 4 f(x)=6 cos x-1,2x Вычислите производные функций y=f(x)

1. f(x) = sin x - cos x;

f\'(x) = (sinx - cosx)\' = sin\'x - cos\'x = cosx - (-sinx) = cosx + sinx;

2. f(x) = tgx - 4 ctgx;

f\'(x) = (tgx - 4ctgx)\' = tg\'x - 4ctg\'x = 1/cos^2x - 4 * (-1/sin^2x) = 1/cos^2x + 4/sin^2x;

3. f(x) = 4x - sinx;

f\'(x) = (4x - sinx)\' = (4x)\' - (sinx)\' = 4 - cosx;

4. f(x) = 6 cosx - 1,2x;

f\'(x) = (6 cosx - 1,2x)\' = (6cosx)\' - (1,2x)\' = -6sinx - 1,2.