Question

estimate roots newtons linearization

Answer 1

Is this what you mean
http://en.wikipedia.org/wiki/Newton's_method

Answer 2

yes

Answer 3

If you define a function
f(x)= x^2-5
it will have a zero when x is sqrt(5)

You can use Newton's method to find that zero (x value)

\[ x_{n+1}= x_n - \frac{f(x_n)}{f'(x_n)} \]

Answer 4

can you find f'(x) ?

Answer 5

but i need the estimation of root5 i think ur r thinking other one

Answer 6

Maybe you mean a taylor series approximation?
f(x) ~ f(a) + f'(a)(x-a)

Answer 7

hmm yup

Answer 8

I would pick a=4 because you know the square root of 4

Answer 9

exactly the same

Answer 10

ohk

Answer 11

here
f(x)= \(x^{\frac{1}{2}}\)
\[ f'(x)= \frac{1}{2}x^{-1/2} \]
evaluate this at x= a = 4