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Question Number 113330 by mathdave last updated on 12/Sep/20

Answered by MJS_new last updated on 12/Sep/20

$$\mathrm{use}\mathrm{formula}\mathrm{for}\mathrm{half}\mathrm{derivate}$$$$\frac{d^q}{{dx}^q}{x}^p=\frac{\mathrm{\Gamma }(p+1)}{\mathrm{\Gamma }(p-q+1)}{x}^{p-q}$$$$\Rightarrow$$$$\mathrm{answer}\mathrm{is}\frac{\mathrm{\Gamma }\left(3\right)}{\mathrm{\Gamma }\left(\frac{5}{2}\right)}{x}^{3/2}=\frac{8}{3\sqrt{\pi }}{x}^{3/2}$$

Commented by mathdave last updated on 13/Sep/20

$$correct$$

Commented by Tawa11 last updated on 06/Sep/21

$$\mathrm{great}\mathrm{sir}$$

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