1. у'=4х³+6х-1/√х+1/х²
2. у'=(Tgx-Ctgx)'×sinx+(Tgx-Ctgx)×sinx'=(1/cos²x+1/sin²x)×sinx+(Tgx-Ctgx)×cosx
3. y'={(2x²+3x)'×(x⁴-8)-(2x²+3x)×(x⁴-8)'}/(x⁴-8)²={(4x+3)×(x⁴-8-(2x²+3x)×4x³)}/(x⁴-8)²
4. y'=1/(arccosx+x²)×(arccosx+x²)'=1/(arccosx+x²)×(-1/√{1-x²} + 2x)