y=sin(x+y)的隐函数的二阶导数.

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y=sin(x+y)的隐函数的二阶导数.y=sin(x+y)的隐函数的二阶导数.y=sin(x+y)的隐函数的二阶导数.y''=cos(x+y)*(1+y'')y''=1/[1/cos(x+y)-1]y"=

y=sin(x+y)的隐函数的二阶导数.
y=sin(x+y)的隐函数的二阶导数.

y=sin(x+y)的隐函数的二阶导数.
y'=cos(x+y)*(1+y')
y'=1/[1/cos(x+y)-1]
y"= -sin(x+y)(1+y')/{cos(x+y)^2[1/cos(x+y)-1]^2}
=-sin(x+y)[1+1/[1/cos(x+y)-1]/[1-cos(x+y)]^2
=-sin(x+y)/[1-cos(x+y)]^3

y'=cos(x+y)*(1+y')
y'=-1+1/[1-cos(x+y)] ,及1+y'=1/[1-cos(x+y)]
y"= -1/[1-cos(x+y)]^2*sin(x+y)*(1+y')
=-1/[1-cos(x+y)]^2*sin(x+y)*{1/[1-cos(x+y)]}
=-sin(x+y)/[1-cos(x+y)]^3