来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/07/14 17:29:16
微积分导数小题~
![](http://img.wesiedu.com/upload/7/da/7dad0b2da2fbe0a42f3e6c92bf047215.jpg)
两边求导:
y'=sec^2(x+y)*(1+y')
y'=sec^2(x+y)/(1-sec^2(x+y))=-1/sin^2(x+y)
两边求导:y''=2/sin^3(x+y)*cos(x+y)*(1+y')
=2/sin^3(x+y)*cos(x+y)*(1-1/sin^2(x+y))
=2/sin^3(c+y)*cos(x+y)*(-cos^2(x+y)/sin^2(x+y)
=-2cos^3(x+y)/sin^5(x+y)