Newton Raphson Method: Advantages and Drawbacks: https://www.youtube.com/watch?v=QwyjgmqbR9s
Advantages:
converge fast, if it converges.
requires only one guess.
Secent method: you have to make 2 guesses.
Here is the PDF file and official website for this chapter :
http://nm.mathforcollege.com/topics/newton_raphson.html
Here is the official website for Numerical Analysis :
http://mathforcollege.com/nm/#sthash.a5TstwNX.dpbs