MATLAB: Help regarding ((differentiation-1)^n)*x^n

differentiation

how to simulate this equation in matlab….i am getting error 'unexpected matlab equation'…. 1/factorial(n)((d/dx-1)^n)*x^n

laguerreL can generate Laguerre polynomial and function for you, since that is what you are looking for, as per your comments.

Here are a couple links that explain it about as clearly as possible:

Numerical differentiation formulas (Gives an example using a 4-point first derivative)

and:

Note that if f(x) is the function you are differentiating (here the numerical data you have), h is the step size, that is:

h = x(k + 1) - x(k);

I have experimented with the algorithm for the 5-point first derivative. It is easy to implement, accurate, and reasonably precise.

syms x k
n = 10;
diff(exp(-x)*x^(n+k),x,n)