If x0,x1,x2,y0,y1,y2 are any real numbers prove that there's only one polynomial such that: f(x0) = yo , f(x2)= y2, f'(x1)= y1 with x1 > (x0 + x2)/2 . What happens if x1 = (x0 + x2)/2 ? Thanks in advance
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