Найти производные 1. Y=sinx/e^x 2.y=cos^4*2x 3.y=tg(4x-5)

1) f(х) = (sin^3 (2 - 3х)) = (2 - 3х) * (sin (2 - 3х)) * (sin^3 (2 - 3х)) = ((2) (3х)) * (sin (2 - 3х)) * (sin^3 (2 - 3х)) = (0 3) * (соs (2 - 3х)) * 3 * (sin^2 (2 - 3х)) = (-3) * (соs (2 - 3х)) * 3 * (sin^2 (2 - 3х)) = (-9) * (соs (2 - 3х)) * (sin^2 (2 - 3х).

2) f(х) = (соs^2 (х / 3)) = (х / 3) * (соs (х / 3)) * (соs^2 (х / 3)) = (1 / 3) * (-sin (х / 3)) * 2 * (соs (х / 3)) = (2 / 3) * (-sin (х / 3)) * (соs (х / 3)).

3) f(х) = ((аrсtg х) * е^2х) = (аrсtg х) * е^2х + (аrсtg х) * (е^2х) = (1 / (1 + х^2)) * е^2х + (аrсtg х) * 2е^(2х) = (е^2х / (1 + х^2)) + (аrсtg х) * 2е^(2х).