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How does the command 'Root()' work?
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How does the command 'Root()' work?
We are not wondering how to use it, but the principle it follows.
This question arose in our exploration on Newton Iteration. We choose 'Root(f, <initial>)' to express the approximate zero point A. When f=x^(2/3) and <initial>≠0, A showed 'undefined'. We guess the problem is associated with how 'Root()' works. Maybe it uses derivatives in its calculations.
And we wonder if there's any method to show the approximate zero point of functions like that.
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Root(f, <initial>) works for f(x)=cbrt(x^2)
please, when you know why comment it here
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