Найдите производную данной функции: в) f (x) = 3 Sinx; г) f (x) = Cos (3-n/4); д) f (x) = x/2-2/2; е) f (x) = x4-2x/2

Вычислим производные функций:

в) f (x) = 3 * sin x;

f ' (x) = (3 * sin x) ' = 3 * sin ' x = 3 * cos x;

г) f (x) = сos (3 * x - n/4);

f ' (x) = cos ' (3 * x - n/4) = - sin (3 * x - n/4) * (3 * x - n/4) ' = - sin (3 * x - n/4) * (3 * x ' - 0) = - sin (3 * x - n/4) * 3 = - 3 * sin (3 * x - n/4);

д) f (x) = x/2 - 2/2;

f ' (x) = (x/2 - 2/2) ' = (x/2 - 1) ' = (x/2) ' - 1 ' = 1/2 * x ' - 0 = 1/2 * 1 - 0 = 1/2;

е) f (x) = x^4 - 2 * x/2;

f ' (x) = (x^4 - 2 * x/2) ' = (x^4 - x) ' = (x^4) ' - x ' = 4 * x^3 - 1.