解答题: 求下列隐函数的导数 y=cos(x+y)

2025-01-21 09:20:45
推荐回答(2个)
回答1:

y'=[cos(x+y)]'=-sin(x+y)*(1+y')=-sin(x+y)+-sin(x+y)*y'

把含y'的部分移到等式的右边,所以:

y'=-sin(x+y)/1+sin(x+y)

回答2:

dy/dx=-sin(x+y)*(1+dy/dx)
dy/dy=[-sin(x+y)]/[(1+sin(x+y))]