给这方程所确定的隐函数的二阶导数,

问题描述:

给这方程所确定的隐函数的二阶导数,
 
1个回答 分类:数学 2014-10-28

问题解答:

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两边对x求导:y'=(1+y')cos(x+y)
得:y'=cos(x+y)/[1-cos(x+y)]
再对y'求导:y"=[-(1+y')sin(x+y)(1-cos(x+y))-cos(x+y)*(1+y')(sin(x+y)]/[1-cos(x+y)]^2
=-sin(x+y)(1+y')/[1-cos(x+y)]^2
再代入y',得:
y"=-sin(x+y)[1+cos(x+y)/(1-cos(x+y))]/[1-cos(x+y)]^2
=-sin(x+y)/[1-cos(x+y)]^3
再问: л��
 
 
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