creating a coefficient matrix for a polynomial

I have a function f(x) = a_0 +a1*x+a2*x^2+a3*x^3

I need to create a matrix such that

row 1 contains f(0) term as first element and other terms as 0 0 0

row 2 is coefficients of differentiation of f(x) at 0 which would be 0 1 0 0

row 3 is coefficients of f(x) at x = L i.e [1 L L^2 L^3]

[Walter Roberson]

The differentiation of f(x) at 0: f' would be a1+2*a2*x+3*a3*x^2 and evaluated at 0 that would be a1, not 1

Anyhow, go ahead and create the matrix; you have already given instructions on how you want to built it.

Perhaps the hint you need is: coeffs() ?

[Parth Jain]

hi walter.

yea this worked haha

Answer 1

[Sai Veeramachaneni]

Adding to Walter comment you can also try creating required matrix leveraging syms , coeffs , diff.