newton raphson method explanation

newton raphson method is used for finding the root of nonlinear equations. 

for example, if you want to find the root of equation x*x-9=0 

we now we will get x value 2. but let's calculate with the newton raphson method. 

formula: X=Xo-f(x)/ f'(x) 

x0=intial value 

f(x)=equation 

f'(x)= differentiation of equation 

you have to guess the initial value. if your initial value is closer to the root newton's raphson method will find the root faster. 

let you have taken initial value 1

put 1 in equation f(x)=-8 and f'(x)=2 

put above value in formula. 

x=1+8/2, x=5 

now again find f(x) and f'(x) will repeat the above step until you get the root

you can find  newton raphson method in c