1) y = 4x³ - 2/x²+1/x = 4x³ + 2x^-2 + x^-1
y'= 12x² -4x^-3 - x^-2 = 12x²-4/x³ - 1/x²
2) y = 2x(3x² -x +5) = 6x³ -2x² +10x
y' = 18x² -4x +10
3) y=e^(3x+5) * x² ( (UV)'=U'V+UV')
y'=(e^(3x+5))' * x² + e^(3x +5)*(x²)' = 3x²e^(3x +5) + 2xe^(3x+5)
4) y = Ctg(x+1)/8 = 1/8*Сtg(x+1)
y' = 1/8* 1/Cos²(x+1) = 1/(8Ctg(x+1))