1) 3x^2 - 4x + 1
2) y = 2√x*sinx + √x
y' = 2*((sinx/2√x) + √x*cosx) + (1/2√x) = 2sinx/(2√x) + 2√x*cosx + 1/(2√x) = (2sinx + 4x*cosx + 1)/(2√x)
3) y' = -2/(x^3)
4) y' = sinx/cos^2(x) = tgx/cosx
5) y' = (6x*x^3 - 3x^2*(3x^2 - 2))/(x^6) = (6x^4 - 9x^4 + 6x^2)/(x^6) = (6x^2 - 3x^4)/(x^6) = 3x^2*(2 - x^2)/(x^6) = (6 - 3x^2)/(x^4) = 6/(x^4) - (3/x^2)
6) y' = 1/cos^2(x) - 1/x^2 = (x^2 - cos^2(x))/(x^2*cos^2(x)) = (x - cosx)(x + cosx)/(x^2*cos^2(x))