一、选择题
1.函数f(x)=a4+5a2x2-x6的导数为导学号05300167( )
A.4a3+10ax2-x6 B.4a3+10a2x-6x5
C.10a2x-6x5 D.以上都不对
答案] C
解析] f′(x)=(a4)′+(5a2x2)′-(x6)′=-6x5+10a2x.
2.函数y=2sinxcosx的导数为导学号05300168( )
A.y′=cosx B.y′=2cos2x
C.y′=2(sin2x-cos2x) D.y′=-sin2x
答案] B
解析] y′=(2sinxcosx)′=2(sinx)′·cosx
+2sinx(cosx)′=2cos2x-2sin2x=2cos2x.
3.下列求导运算正确的是导学号05300169( )