y=(根号下x+1)(根号下1/x-1)y'=(根号下x+1)'(根号下1/x-1)+(根号下x+1)(根号下1/x-1)' =1/2 (根号下1/x-1)/根号x-1/2 (根号下x+1)/根号x^3 =1/2(1/x-1/根号x)-1/2 (1/x+1/根号x^3)=-1/2(1/根号x+1/根号x^3)=-1/x^2*(x根号x+根号x)