Найти производную сложной функции y=8/4√x-6/3√x g=x^2*tgx

f (х) ' = (4 * (х - 5) ^ (1 / 2)) ' = 4 * (х - 5) ' * ((х - 5) ^ (1 / 2)) ' = 4 * ((х) ' - (5) ') * ((х - 5) ^ (1 / 2)) ' = 4 * (1 - 0) * (1 / 2) * (х - 5) ^ (-1 / 2) = 2 / √ (х - 5).

f (х) ' = (х - 1) ' = (х) ' - (1) ' = (1 * х^0) - 0 = 1 * 1 - 0 = 1 - 0 = 1.

f (х) ' = ((-1 / 5) * х^3 + 45 х^2 + 4 х - 1) ' = ((-1 / 5) * х^3) ' + (45 х^2) ' + (4 х) ' - (1) ' =

(-1 / 5) * 3 * х^2 + 45 * 2 * х + 4 - 0 = (-3 / 5) * х^2 + 90 х + 4.

f (х) ' = (4 х^2 + 6 х + 3) ' = (4 х^2) ' + (6 х) ' + (3) ' = 8 х + 6 + 0 = 8 х + 6.

f (х) ' = (1 - 6 * х^ (1 / 3)) ' = (1) ' - (6 * х^ (1 / 3)) ' = 0 - 6 * (1 / 3) * х^ ((1 / 3) - 1) = 2 * х^ (2 / 3).