# 4 problems / if u can solve one of them i would really appreciate it /numerical

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• September 29th 2013, 11:03 PM
Vendetta
4 problems / if u can solve one of them i would really appreciate it /numerical
numerical analysis
• September 30th 2013, 04:53 AM
SlipEternal
Re: 4 problems / if u can solve one of them i would really appreciate it /numerical
For problem 1, the proof is obvious by definition. If $f\in C^n(\Omega)$ then $f^\prime, f^{\prime\prime}, \ldots, f^{(n)}$ are all continuous. Let $g = f'$. Now, what are $f^{\prime\prime}, \ldots, f^{(n)}$ in terms of $g$? What does that tell you about $g$'s differentiability class?

I have no ideas for problems 2-4.