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Can you help me?

If $f$ and $f'$ are continuous at $[a,b]$ (where $a,b\mathbb{\in R}$), then $\forall\epsilon>0$ exists a polynomial $p$ such that $\left\Vert f-p\right\Vert _{\infty}\leq\epsilon$ and $\left\Vert f'-p'\right\Vert _{\infty}\leq\epsilon$.

Winther
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user303527
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    See also http://math.stackexchange.com/questions/555712/on-finding-polynomials-that-approximate-a-function-and-its-derivative-extension. – lhf Jan 08 '16 at 01:21
  • The proof is given in the acctual question text in the link above (the case called $n=1$). – Winther Jan 08 '16 at 01:34

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