求导数 y=(x∧3-1)/sinx y=2xsin(2x+5) y=(1-根号x3+根号2x)/根

求导数 y=(x∧3-1)/sinx y=2xsin(2x+5) y=(1-根号x3+根号2x)/根
求导数
y=(x∧3-1)/sinx
y=2xsin(2x+5)
y=(1-根号x3+根号2x)/根号x

y=(x∧3-1)/sinx
y'=[2x²sinx-(x³-1)cosx]/sin²x
=(2x²sinx-x³cosx+cosx)/sin²x
y=2xsin(2x+5)
y'=2sin(2x+5)+2xcos(2x+5)*2
=2sin(2x+5)+4xcos(2x+5)
y=(1-√x³+√2x)/√x
=1/√x-x+√(2x)
y'=-1/2*x^(-3/2)-1+√2/(2√x)