求导数练习题

1、求下列函数的导数(1)232yx，则y_______________6x(2)2211xyxx，则y_______________22241(1)xxxx(3)nyxnx，则y_______________1(1)nnx(4)22xmyxmxx，则y_______________2111mmxxxx(5)33logyxx，则y_______________2233logln3xxx(6)cosxyex，则y_______________(cossin)xexx(7)23(1)(31)(1)yxxx，则y_________5432185121223xxxxx(8)tanxyx，则y_______________22sectanxxxx(9)1cosxyx，则y_______________21cossin(1cos)xxxx(10)1ln1lnxyx，则y_______________22(1ln)xx(11)21sincosxyxx，则y___________222(sincos)(1)(cossin)(sincos)xxxxxxxx2、求下列复合函数的导数(1)21yxx，则y_______________22121xx(2)23(1)yx，则y_______________226(1)xx(3)231()1xyx，则y_______________2224(1)(12)3(1)xxxx(4)ln(ln)yx，则y_______________1lnxx(5)ln(sin)yx，则y_______________cotx(6)2lg(1)yxx，则y_______________22111ln10xxx(7)2ln(1)yxx，则y_______________211x(8)11ln11xxyxx，则y_______________211xx(9)3(sincos)yxx，则y_______________3cos2(sincos)xxx(10)3cos4yx，则y_______________6cos4sin8xx(11)2sin1yx，则y_______________22cos11xxx(12)23(sin)yx，则y_______________2226sincosxxx(13)1xye，则y_______________1xe(14)sin2xy，则y_______________sinln22cosxx(15)sin2xex，则y_______________(2cos2sin2)xexx