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can someone explain as simply as possible the newton raphson method

Mathematics
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Guess x0 (needs to be reasonably close for convergence) Then first iteration x1 = x0 - f(x0)/f'(x0) and repeat to desired accuracy.
how would i know what value of x0 to put in?
would it be the value closes to the point of the cut on the x axis

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Other answers:

Usually the function provides you with enough info to make a guess at the root
|dw:1350326896625:dw|
what value would i out in?
put*
eg Cos x -x has a root between 0 and 1 so u coulde choose 1/2 to start.
ohhhh okay! thank you
yw
okay so x2 so when i figure out x2 would i sub in the value of x1?
Yes, just iterate, successive iterates will come closer and closer to the root (if it converges)

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