Please help me comlete the scheme for finding the Hermite polynomial. I was given: f(o)=2, f´(0)=1, p(1)=3, p(2)=10.
I solved the problem as follows 
, but at the end I get two 2s, whish give 0 in difference. What derivaitive do I need to take next to complete this exercise?
2026-03-26 01:28:14.1774488494
How do I continue the scheme to find the Hermite polynomial?
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Now you apply the Newton interpolation formula $$ p(x)=f(0)+f[0,0]x+f[0,0,1]x^2+f[0,0,1,2]x^2(x-1). $$ As the last coefficient is zero, the interpolation polynomial is only quadratic.