Производные??.
4) y=3^tg⁵(2x⁵) y'=3^tg⁵(2x⁵) ·ln3 ·5 tg⁴(2x⁵) ·10x⁴=50·ln3·3^tg⁵(2x⁵)·tg⁴(2x⁵)
5) y=arccos(eˣ) ·(ctg 3x)
y'=-[ 1/(1-e²ˣ)]·(eˣ)·(ctg 3x)+arccos(eˣ)·(-1/sin² 3x)(3)=
= -(eˣ)·(ctg 3x)/(1-e²ˣ) - 3arccos(eˣ)·/sin² 3x
6) y= (∛sinx) / (arcsin√x)
(1/3)(sinx)^(-2/3)(cosx) (arcsin√x)- (∛sinx) ·(1/√(1-x))·(1/(2√x))
y' = ---------------------------------------------------------------------------------
(arcsin√x)²
7) y=(cosx)^arctgx
ln y = arctgx ·ln(cosx)
(1/y) ·y'=1/(1+x²)·ln(cosx)+arctgx ·(1/cosx)·(-sinx)
y'= y·[1/(1+x²)·ln(cosx)+arctgx ·(1/cosx)·(-sinx)]
y'= ((cosx)^arctgx)·[ln(cosx) /(1+x²) - arctgx ·(tgx)]