Question: Newtons Method in an Interval

Hello, I'd like to use Maple to use Newton's Method in an interval to find multiple roots of 4xcos(3x)+(x-2)^2-2=0. What I have so far is:

f := 4*x*cos(3*x)+(x-2)^2-2:


Other than trying out different initial guesses is there a way to do this?

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