Fortran Assignment, in need of help please!!

[qwerty9143]

The Newton method is used to determine the value of x that makes |f(x)| < t₀≈0. The value of x is determined from the following formula, where x₀ is the initial guess:
x_n+1 = x_n - (f(x_n)/f^'(x_n)) n=0,1,2,...

In this equation, the prime denotes the derivative with respect to x.The value of n is a function of the tolerance, which is a very small value, and the choice of x₀. Write a FORTRAN script that obtains the value of x when
f(x)=cos(x) + sin(x)
f^'(x)= -sin(x) + cos(x)

and when x₀=1.5 and t₀<10^-8. Have the output of the program displayed to the Console the various quantities as shown below.

At x = 2.35619450,f(x)= 6.0407994966881623E-009 after 4 iterations

 

[xwb]

What have you done so far and what are you stuck at?

 

[qwerty9143]

Honestly, I have not started this one. I really do not know how to implement what was given and such. I do understand that a do while loop is required such as:

do while (abs(x)<0) ... something like that.

 

[mikrom]

Here is the Newton's Method with pseudocode.
First you need to understand how the method works, only then you can start with programming.