amorfide
can someone explain as simply as possible the newton raphson method



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estudier
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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.

amorfide
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how would i know what value of x0 to put in?

amorfide
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would it be the value closes to the point of the cut on the x axis

estudier
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Usually the function provides you with enough info to make a guess at the root

amorfide
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dw:1350326896625:dw

amorfide
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what value would i out in?

amorfide
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put*

estudier
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eg Cos x x has a root between 0 and 1 so u coulde choose 1/2 to start.

amorfide
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ohhhh okay! thank you

estudier
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yw

amorfide
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okay so x2
so when i figure out x2 would i sub in the value of x1?

estudier
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Yes, just iterate, successive iterates will come closer and closer to the root (if it converges)