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Question Number 70705 by sadimuhmud 136 last updated on 07/Oct/19

$$\frac{\mathrm{d}}{\mathrm{dx}}\left({\log }_{10}\mathrm{x}\right)=?$$

Answered by $@ty@m123 last updated on 07/Oct/19

$$\frac{\mathrm{d}}{\mathrm{dx}}\left(\frac{{\log }_{e}x.}{{\log }_{e}10}\right)=\frac{1}{\ln 10}.\frac{d}{dx}\left(\ln x\right)$$$$=\frac{1}{\ln 10}.\frac{1}{x}$$$$=\frac{1}{x.\ln 10}$$

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