1) y' = 3lnx + 3x*(1/x) - 96x^31y' = 3lnx + 3 - 96x^31
2) y' = (2xsinx + x^2cosx) + (2cosx - 2xsinx) - 2cosxy' = 2xsinx + x^2cosx + 2cosx - 2xsinx - 2cosxy' = x^2*cosx
3) y' = ((2x+3)(2) - (3x+2)(2))/(2x+3)^2y' = (4x + 6 - 6x - 4)/(2x+3)^2y' = (-2x + 2)/(2x+3)^2
4) y' = (1/2)(2-3x^4)^(-1/2)(-12x^3)y' = (-6x^3)/sqrt(2-3x^4)
1) y' = 3lnx + 3x*(1/x) - 96x^31
y' = 3lnx + 3 - 96x^31
2) y' = (2xsinx + x^2cosx) + (2cosx - 2xsinx) - 2cosx
y' = 2xsinx + x^2cosx + 2cosx - 2xsinx - 2cosx
y' = x^2*cosx
3) y' = ((2x+3)(2) - (3x+2)(2))/(2x+3)^2
y' = (4x + 6 - 6x - 4)/(2x+3)^2
y' = (-2x + 2)/(2x+3)^2
4) y' = (1/2)(2-3x^4)^(-1/2)(-12x^3)
y' = (-6x^3)/sqrt(2-3x^4)