Найдите производную функций f (x) = sinx-cosx f (x) = 4x-sinx f (x) = tgx-4ctgx f (x) = 6cosx-1,2x

Найдем производные функций.

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

f ' (x) = (sin x - cos x) ' = sin ' x - cos ' x = cos x - (-sin x) = cos x + sin x;

2) f (x) = 4 * x - sin x;

f ' (x) = (4 * x - sin x) ' = (4 * x) ' - sin ' x = 4 * x' - cos x = 4 * 1 - cos x = 4 - cos x;

3) f (x) = tg x - 4 * ctg x;

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

4) f (x) = 6 * cos x - 1,2 * x;

f ' (x) = (6 * cos x - 1.2 * x) ' = 6 * cos ' x - 1.2 * x ' = 6 * (-sin x) - 1.2 * 1 = - 6 * sin x - 1.2.