e的xy次方对x求导得多少

2025-06-28 07:15:54
推荐回答(2个)
回答1:

f(x,y)=e^(xy)
lnf(x,y)=xy
f'x(x,y)/f(x,y)=y+xy'
f'x(x,y)=(y+xy')e^(xy)

回答2:

将xy看为整体,复合函数e^u的导数e^u*u',所以求e^xy(xy)',结果是e^xy*(y+xy')