求二阶导数y=1+xe∧y

2025-01-21 06:29:36
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回答1:

两边对x求导得:y'=e^y+xy'e^yy'=e^y/(1-xe^y)y''=dy'/dx=[y'e^y(1-xe^y)-(-e^y-xy'e^y)e^y]/(1-xe^y)²=(2-x)e^(2y)/(1-xe^y)³