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19题,求解呀
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先求出x=0时y=e,(x=0带入ln(x+y)=e ^xy )
ln(x+y)=e ^xy 两边对x求偏导
(y'+1)/(x+y)=e^xy* (y+xy')
令x=0有
(y'|x=0 +1)/(0+e)=1*e
有y'|x=0 =e^2-1
ln(x+y)=e ^xy 两边对x求偏导
(y'+1)/(x+y)=e^xy* (y+xy')
令x=0有
(y'|x=0 +1)/(0+e)=1*e
有y'|x=0 =e^2-1
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