Question

can someone explain as simply as possible the newton raphson method

Answer 1

Guess x0 (needs to be reasonably close for convergence)

Then first iteration x1 = x0 - f(x0)/f'(x0) and repeat to desired accuracy.

Answer 2

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

Answer 3

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

Answer 4

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

Answer 5

what value would i out in?

Answer 6

put*

Answer 7

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

Answer 8

ohhhh okay! thank you

Answer 9

yw

Answer 10

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

Answer 11

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