求导 y=ln(tan(x/2))

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/22 15:02:12
求导y=ln(tan(x/2))求导y=ln(tan(x/2))求导y=ln(tan(x/2))y''=1/(tan(x/2))*(tan(x/2))''=1/(tan(x/2))*(sec^2(x/2)

求导 y=ln(tan(x/2))
求导 y=ln(tan(x/2))

求导 y=ln(tan(x/2))
y'=1/(tan(x/2))*(tan(x/2))'=1/(tan(x/2))*(sec^2(x/2))*(x/2)'=1/(2sin(x/2)*cos(x/2))=1/sin(x)=csc(x)