由方程y=3x-ln(x+y)+siny所确定隐函数y=y(x)的导数y✀

2025-06-21 12:45:48
推荐回答(2个)
回答1:

对等式两边求导:y'=3-(1+y')/(x+y)+y'cosy
∴y'=[3(x+y)-1]/[(x+y)(1-cosy)+1]

回答2:

y'=3-(1+y')/(x+y)+y'cosy,则y'=3(x+y)/(x+y+1+(x+y)cosy)