求由e^y=cos(x+y)所确定的隐函数y=y(x)的导数

求由e^y=cos(x+y)所确定的隐函数y=y(x)的导数
2025-06-20 22:47:42
推荐回答(1个)
回答1:

e^y=cos(x+y)
(e^y).y' = -sin(x+y) . ( 1+ y')
(e^y + sin(x+y) ) y' = -sin(x+y)
y' =-sin(x+y)/(e^y + sin(x+y) )