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e^(x+y)+xy=0求一阶导数和二阶导数
人气:330 ℃ 时间:2020-06-27 06:05:07
解答
e^(x+y)+xy=0两边对x求导得:e^(x+y)*(1+y')+y+xy'=0,解得:y'=-(e^(x+y)+y)/((e^(x+y)+x))=(xy-y)/(x-xy)e^(x+y)*(1+y')+y+xy'=0两边对x求导得:e^(x+y)*(1+y')^2+y''e^(x+y)+2y'+xy''=0解得:y''=-(e^(x+y)*(1+y')...
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