отыскать производную: у=sin(arctg^4(4x^3)) y=tg(arccos^3(3x^2))

Найдем производные функций: 

1) у = sin (arctg^4 (4x^3));  

у   = (sin (arctg^4 (4x^3)) = cos (arctg^4 (4x^3) * ((arctg^4 (4x^3)) =  4 * cos (arctg^4 (4x^3)) * ((arctg^3 (4x^3)) * arctg (4x^3) =  4 * cos (arctg^4 (4x^3)) * ((arctg^3 (4x^3)) * 1/(1 + 16 * x^6) * (4 * x^3)   = 4 * cos (arctg^4 (4x^3)) * ((arctg^3 (4x^3)) * 1/(1 + 16 * x^6) * 12 * x^2  = 48 * cos (arctg^4 (4x^3)) * ((arctg^3 (4x^3)) * 1/(1 + 16 * x^6)  * x^2;  

2) y = tg (arccos^3 (3x^2));  

y = (tg (arccos^3 (3x^2))) = 1/cos^2 (arccos^3 (3x^2)) * 3 * arccos^2 (3x^2)) * 1/(1 + 9 * x^4) * 6 * x = 18/cos^2 (arccos^3 (3x^2)) * arccos^2 (3x^2)) * 1/(1 + 9 * x^4) * x.