求隐函数y=tan(x+y)的二阶导数
问题描述：
求隐函数y=tan(x+y)的二阶导数
答
y=tan(x+y)得y'=(1+y')/(cos(x+y))^2 解得y'=-1/(sin(x+y))^2=-(sin(x+y))^(-2) y''=2(sin(x+y))^(-3)*cos(x+y)*(1+y') =2(sin(x+y))^(-3)*cos(x+y)*(1-1/(sin(x+y))^2) =-2(cos(x+y))^3(sin(x+y))^(-5)