It would be difficult to view any of these three philosophies as a response to one another, as they all date from about the same period. Confucius is generally considered to have been born in 551 BC, Lao-T'zu probably about 604 BC, and Siddhartha Gautama in 546 BC. They came from different areas, the first two from different parts of China and Gautama from Nepal.
Confucianism is a philosophy of ethics and morals within society, stressing ritual and duty to the family, community and nation/state, where Taosim is a philosophy of individual "right living." Buddhism is more "religious" in some aspects than the other two, but careful reading of the Dhamapada or Teachings of the Buddha reveals a rejection of religious hindu cosmology and a philosophy of individual moral thought and action. None are truly religious philosophies, but are concerned with ethical behavior for the positive benefits to the individual and society.