Question: 4. (10 pts.) A numerical differentiation formula for approximative derivative f' (a) is typi- cally of the form f' (a) = LK=Ockf(Xk) h + E(hm),

 4. (10 pts.) A numerical differentiation formula for approximative derivative f'

4. (10 pts.) A numerical differentiation formula for approximative derivative f' (a) is typi- cally of the form f' (a) = LK=Ockf(Xk) h + E(hm), for some coefficients {ck}_ and nodes {nk}?_. Show that if m 2 1, then necessarily CROCK = 0

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