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Question Number 196322 by sniper237 last updated on 22/Aug/23

$$f^{\left(1/2\right)}\left(x\right)=\frac{d}{dx}\left({\int }_0^x\frac{f(x-t)}{\sqrt{\pi t}}dt\right)$$$$Provethat{\left(f^{\left(1/2\right)}\right)}^{\left(1/2\right)}=f{}^{\prime }$$$$Atleastforf=1thenf=x$$

Answered by witcher3 last updated on 22/Aug/23

$$\mathrm{Show}\mathrm{True}\mathrm{for}/\mathrm{All}\mathrm{f}\mathrm{derivable}?$$$$\mathrm{or}\mathrm{just}\mathrm{f}=1\mathrm{and}\mathrm{x}\mathrm{sorry}\mathrm{im}\mathrm{not}\mathrm{good}\mathrm{in}\mathrm{english}$$$$$$

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