求下列函数的二阶导数.
(1)y=1/x(1-x)
(2)y=xlnx
(3)y=(4+x2)arctan(x/2)
(4)y=ln(2-x)/(2+x)
(1)y=1/[x(1-x)]=[(1-x)+x]/[x(1-x)]=1/x+1/(1-x), y'=-(1/x2)+1/(1-x)2,y''=2/x3+2/(1-x)3=[2(1-3x)+3x2)]/[x3(1-x)3] (2)y'=1+lnx,y''=1/x (3)y'=2xarctan(x/2)+2,y''=2[arctan(x/2)+2x/(4+x2)] (4)由y=ln(2-x)-ln(2+x),(-2<x<2),y'=1/(x-2)-1/(x+2),y''=-[1/(x-22)]+1/(x+2)2