Help with numerical differentiation using difference tables

PJS KUMAR

2018 9 5

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For the following data

x=[1:0.2:2.2]
y=[2.7183 3.3201 4.0552 4.9532 6.0496 7.3891 9.0250]

help me to write MATLAB code to find dy/dx value at any point xi using newton forward formula Help me to write MATLAB code after constructing difference table.

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Steven Lord 2018-9-5

This sounds a lot like a homework problem. If it is, show us what you've tried so far to solve the problem and tell us specifically where you're having difficulty and we may be able to offer some guidance on how to proceed.

PJS KUMAR 2018-9-6

编辑：PJS KUMAR 2018-9-6

在 MATLAB Online 中打开

I have used to following code to construct the difference table

function fp = newton_fint( x,y,p )
  n=length(x);
  diff=y';
  for j=2:n
      for i=1:n-j+1
          diff(i,j)=diff(i+1,j-1)-diff(i,j-1);
      end
  end
  for i=1:n
      for j=1:n
         fprintf("%5.2f\t",diff(i,j));
      end
      fprintf("\n");
  end
    h=x(2)-x(1);
    u=(p-x(1))/h;

How to create a vector with the elements u,u(u-1),u(u-1)(u-2),..... how to differentiate the elements of the above vector. help me in writing the MATLAB code using vector notations for the following formula for finding derivative at any x value