Eve does have a tendency now and then to question Adam, but she does so in a rational, respectful manner. In Book IX, such questioning leads to temptation. Eve tell Adam at the start of Book IX that they can do more work if they work separately. Adam knows that Eve is more likely to be tricked by Satan if she is alone and argues against separation. His love for Eve, though, allows him to be persuaded, and against his better judgment, he lets her go. Most commentators see this action on Adam's part as another example of his uxoriousness; he yields to Eve's argument, not because her argument is better, but because he does not want to hurt her feelings. On the other hand, Eve wins the argument by knowingly using her advantages over Adam. Eve sets herself up for the fall and is not equal to the task of dealing with Satan by herself.
Eve yields to temptation through a combination of flattery (vanity) and sophistic argument by the serpent. Satan is happy to find Eve alone and acknowledges that Adam would be a much more difficult opponent. Satan knows Eve's weaknesses and plays on them. She is charmed by him and cannot detect the flaws in his arguments.
After she eats the fruit, Eve immediately changes. She begins to think of ways of becoming Adam's equal or perhaps his superior. But, fearful of losing Adam to another female creation, she decides that he must eat the fruit also. Adam does so but not because of Eve's arguments. He eats willfully because he is unwilling to be parted from Eve.
