一个隐函数求导的例题e^y+xy-e=0

2025-03-12 23:27:58
推荐回答(1个)
回答1:

对隐函数求导要把y看作是x的函数即y=y(x)
(e^y(x))'
=(e^y(x))*(y(x))'
=e^(y(x))*y'(x)
=(e^y')y'
[xy(x)]'
=(x)'y(x)+x(y(x))'
=y(x)+xy'(x)
=y+xy'
常数的导数为0,e和9的导数都是0