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数学
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求隐函数e^y+xy-e=0的导数,
人气:128 ℃ 时间:2019-11-07 16:08:28
解答
由方程e^y+xy-e=0确定的函数是y=f(x),
因此在对方程两边对于X求导时,要把y看成是x的函数,这样就可以得到
e^y*y'+y+xy'=0
从而得到y'=-y/(e^y+x)
注:y'=dy/dx
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