can somebody please explain the purpose of Newton’s Method. State the Newton’s Method Formula and explain how the method approximates zeros

Question

anonymous · Answer

http://en.wikipedia.org/wiki/Newton's_method The gif on that page explains it better than I can.

anonymous · Answer

thanks can you please define the zero of a function?

anonymous · Answer

Haha oooh. Well, the zeros of a function are the inputs, or Xs, that give an output, or Y of 0. So consider the function:
f(x) = 2x -6
if I input 3, the output is f(3) = 2(3) - 6 = 6-6 = 0
so 3 is the zero of the function. What this looks like on the graphs is:
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