来自顾沈明的问题
Y=Sin(X+Y)这个隐函数的二阶导数,急求!
Y=Sin(X+Y)这个隐函数的二阶导数,急求!
1回答
2020-05-20 21:16
Y=Sin(X+Y)这个隐函数的二阶导数,急求!
Y=Sin(X+Y)这个隐函数的二阶导数,急求!
两边对x求导:y'=cos(x+y)(1+y')得y'=cos(x+y)/[1-cos(x+y)]所以y"=[-sin(x+y)(1+y')(1-cos(x+y))-cos(x+y)sin(x+y)(1+y')]/[1-cos(x+y)]^2=-sin(x+y)(1+y')/[1-cos(x+y)]^2=-sin(x+y)[1+cos(x+y)/(1-cos(x+y))]/[1-...