Y=(3+х)/2 * (х(2-ч))^1/2 + 3 arccos(х/2)^1/2 производная

y = ((cos^2 х) * (1 / х)) = (cos^2 х) * (1 / х) + (cos^2 х) * (1 / х) = (cos х) * (cos^2 х) * (1 / х) + (cos^2 х) * (1 / х) = (-2 * (sin х) * (cos х) * (1 / х)) + (cos^2 х) * (-1 / х^2) = (-2(sin х)(cos х) / х) + (cos^2 х / х^2).

f(х) = (х * (х 4)) = (х) * (х 4) + х * (х 4) = (х) * (х 4) + х * ((х) (4)) = 1 * (х 4) + х * (1 0) = х 4 + х = 2х 4.

f(х) = (3 * (2 х)^6) = 3 * (2 х) * ((2 х)^6) = 3 * ((2) (х)) * ((2 х)^6) = 3 * (0 1 * х^(1 1)) * 6 * (2 х)^(6 - 1) = 3 * (0 1) * 6 * (2 х)^5 = 3 * 6 * (2 х)^5 = 18(2 х)^5.

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

f(х) = (1 2х 3х^2) = (1) (2х) (3х^2) = 0 2 3х = -2 3х.