you'd rather

you would rather的缩写

都对吧。。。具体问题具体分析
一般you'd better 是 you had better的省略

都可以
you'd rather =you would rather = you had rather
这两个句型用法是一样的 没有区别
you had rather 是美国英语
you would rather 英国更习惯用

you would rather

两个都对