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)/sinxy=2xsin(2x+5)y=(1-根号x3+根号2x)/根号x
问题描述：
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
答
y=(x∧3-1)/sinx，y'=3*x^2/sin(x)-(x^3-1)/sin(x)^2*cos(x)
y=2xsin(2x+5),y'=2*sin(2*x+5)+4*x*cos(2*x+5)
y=(1-根号x3+根号2x)/根号x,y'=(-3/2*x^(1/2)+1/2*2^(1/2)/x^(1/2))/x^(1/2)-1/2*(1-x^(3/2)+2^(1/2)*x^(1/2))/x^(3/2)
答
y=(x∧3-1)/sinxy'=[2x²sinx-(x³-1)cosx]/sin²x=(2x²sinx-x³cosx+cosx)/sin²xy=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+√...