Make a function in MATLAB to find the first 6 zeros of by using the Newton method

It is known that L = 0.45 m and

The function is supposed to take in a a value in the beginning () and return a root along with its error. The code is supposed to stop when the answers (6 total) have 6 correct digits

An example of the function is given as:

function [ beta , err ] = Newton_P1 ( beta_i , tol )

% THE CODE

end

38(1) (L) - f(kn) = cos(kn L cos(kn L) +1 Vj+1 = I; - f(2) f'(.;))! ,i = 0,1,2, 3... B1 = k L = 1.8751