求下列函数的导数:(Ⅰ)y=23x3+log2x;(Ⅱ)y=xtan2x

求下列函数的导数:(Ⅰ)y=23x3+log2x;(Ⅱ)y=xtan2x.
2025-06-21 23:29:39
推荐回答(1个)
回答1:

(Ⅰ)y′=

2
3
×3x2+
1
xln2
=2x2+
1
xln2

(Ⅱ)y′=tan2x+x(
sinx
cosx
)′
=tan2x+x?
2cos2xcos2x?sin2x(?2sin2x)
cos22x
=tan2x+x?
2(sin22x+cos22x)
cos22x
=tan2x+
2x
cos22x