Let
x0< x1< x2. Show that there is a unique polynomial P(x) ofdegree at most 3 such that
P(xj) =f(xj) j= 0,1,2, and P?(x1) =f?(x1) Give an explicitformula for P(x).
maybe this is a Hint using the Hermit Polynomial:
P(x) = a0 +a1(x-x0)+a2(x-x0)^2+a3(x-x0)^2(x-x1)
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