What seems to be the trouble?. Newton's Method is one of the easiest things in calculus.
It's just a matter of iterations.
Let's give an example:
Use Newton to find the 'real' solutions of
Graph the function,
You can see that y=0 when x is between 1 and 2.
Make something in that region your initial guess.
Now use the result you get from this and sub back into the equation:
What is wrong with this website that I keep getting these errors saying the image is too big?. I've never seen this on another site. The code is fine as far as I can tell..
Continue in this fashion until you arrive at approximations which are so close they are virtually unchanged.
We end up with:
See, the last two are the same.
No need to continue. . The solution is