y=(根号下x^2+4x)/3次根号下x^3+2 =(x²+4x)^(1/2)*(x³+2)^(-1/3)y'=(1/2)*(x²+4x)^(-1/2)*(2x+4)*(x³+2)^(-1/3)+(-1/3)*(x³+2)^(-4/3)*3x²*(x²+4x)^(1/2)=(x+2)*(x²+4x)^(-...