求下列函数的二阶导数:
(1)y=xex2;
(2)y=sin(x3+1).
(1)y'=ex2+2x2ex2 y''=2xex2+4xex2+4x3ex2 =(6x+4x3)ex2. (2)y'=3x2cos(x3+1), y''=6xcos(x3+1)-9x4sin(x3+1).
求下列函数的二阶导数:
(1)y=xex2;
(2)y=sin(x3+1).
(1)y'=ex2+2x2ex2 y''=2xex2+4xex2+4x3ex2 =(6x+4x3)ex2. (2)y'=3x2cos(x3+1), y''=6xcos(x3+1)-9x4sin(x3+1).