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.