Use Newton’s method to solve the equation0 =12+14x2−xsin(x)−12cos(2x),withx0=π 2.Iterate using Newton’s method until an accuracy of 10−3is obtained. Explain why the resultseems unusual for Newton’s method.

given function is

formula for newton's method is

so derivative of function is

now put values and solve

or you can also use MATLAB code to solve

i.e

function p= newton(x)

e=0.001;

for i=1:100

    if abs(d(x))>e

       if abs(k(x))>0

  xm=x-(k(x)/d(x));

  x=xm;

       else

       end

        break;

   end

end

    disp(x)

 disp(k(x))

return;