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Question Number 33406 by NECx last updated on 15/Apr/18

$$Findthehalfderivativeofy=\ln x$$

Commented by MJS last updated on 15/Apr/18

$${\mathrm{what}}^{\prime }\mathrm{s}\mathrm{a}\mathrm{half}\mathrm{derivate}?$$

Commented by NECx last updated on 16/Apr/18

$$Imeannthderivativerather$$

Commented by MJS last updated on 16/Apr/18

$$y=\ln x$$$$y^{\prime }=\frac{d}{dx}=x^{-1}=\frac{1}{x}$$$$y^{″}=\frac{d^2}{{dx}^2}=-x^{-2}=-\frac{1}{x^2}$$$$y^{‴}=\frac{d^3}{{dx}^3}=2x^{-3}=\frac{2}{x^3}$$$$y^{{}^{⁗}}=\frac{d^4}{{dx}^4}=-6x^{-4}=-\frac{6}{x^4}$$$$y^n=\frac{d^n}{{dx}^n}={(-1)}^{n-1}\times \frac{(n-1)!}{x^n}$$

Commented by NECx last updated on 16/Apr/18

$$ThankyousomuchMJSsir.$$

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