Binomial theorem with derivatives in MATLAB

I'm very new to MATLAB and trying to write a code to compute , where and .

is a time-derivative operator. So for example, .

Can anyone please give me a hint on how to code please?

[Jan]

Numerically or symbolically?

[CactusHamster]

Symbollically. I wrote this code. Does this make sense?

B(t) = 0;

for k = 0:n

B(t) = B(t) + nchoosek(n, k)*diff(f(t), t, k)*c^(n - k);

end