MATLAB: Finding the ‘n’-th derivative of a function containing ‘n’

Question

Hi all,

I'm currently trying to plot the associated laguerre polynomials

,however I'm having difficulties with the differentiation term, as

diff(exp(-x)*x^(n+k),x,n) 

differentiates first with regard to a, then with regard to n, instead of differentiating n times with regard to x.

Is there a way to have it do the latter (differentiate n times with regard to x)?

Thank you

Answer 1

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