1)sin(-6y)cos6y = 1/42)(2cos^2)*6x= (2sin^2)*6x+корень из 33)sinx(5cosx+2)=cosx(5sinx+2)

1) f(x) = ((соs (x))^2 (sn (x))^2) = ((соs (x))^2) ((sn (x))^2) = (соs (x)) * ((соs (x))^2) (sn (x)) * ((sn (x))^2) + = -2 * (sn (x)) * (соs (x)) 2 * (соs (x)) * (sn (x)) = -4 * (sn (x)) * (соs (x)).

2) f(x) = ((x^7) (соs (x))) = (x^7) (соs (x)) = (7x^6) (-sn (x)) = (7x^6) + (sn (x)).

3) f(x) = (x^(-3)) + 3x (соs (x))) = (x^(-3)) + (3x) (соs (x)) = (-3x^2) + 3 (-sn (x)) = (-3x^2) + 3 + (sn (x)).

4) f(x) = ((соs (x)) * (ln (x))) = (соs (x)) * (ln (x)) + (соs (x)) * (ln (x)) = (-sin (x)) * (ln (x)) + (соs (x)) * (1 / x) = (-sin (x)) * (ln (x)) + ((соs (x)) / x).

5) f(x) = (x^(2соs (x))) = (2соs (x)) * (x^(2соs (x))) = (-2sn (x)) *(x^(2соs (x))).