Use Newton's method to approximate the root of the equation
that belongs to the interval (6,12 ).
Start with x0=12 and perform three iterations, i.e., find x1,x2, and x3.
Calculate |x0−x1|,|x1−x2|, and |x3−x2|.
1. Use Newton's method
where the function f has a positive leading coefficient so that f(x)= ???
Use the equations right?
So x1=12-[f(12)/f'(12)], then x2=x1-[f(x1)/f'(x1)] and so on..
Is that what you were asking for?
Then it's just simple substitution from there.
Corrections in red.
Originally Posted by endling
Oh, sorry, yes, you are correct. It's a bit late into the evening for me x___x
Originally Posted by scorpion007
thank you both so much, i got it now :)