Найдем производную функции,
y=sin^2(cos(x^3)),
y'=2sin(cos(x^3))*cos(cos(x^3))*(-sin(x^3))*3x^2=-6*(x^2)*sin(cos(x^3))*cos(cos(x^3))*sin(x^3))=
-3*(x^2)*sin(2cos(x^3))*sin(x^3),
y'=-3*(x^2)*sin(2cos(x^3))*sin(x^3).
Найдем производную функции,
y=sin^2(cos(x^3)),
y'=2sin(cos(x^3))*cos(cos(x^3))*(-sin(x^3))*3x^2=-6*(x^2)*sin(cos(x^3))*cos(cos(x^3))*sin(x^3))=
-3*(x^2)*sin(2cos(x^3))*sin(x^3),
y'=-3*(x^2)*sin(2cos(x^3))*sin(x^3).