Question Number 70705 by sadimuhmud 136 last updated on 07/Oct/19
$$\frac{\mathrm{d}}{\mathrm{dx}}\left(\mathrm{log}_{\mathrm{10}} \mathrm{x}\right)=? \\ $$
Answered by $@ty@m123 last updated on 07/Oct/19
$$\frac{\mathrm{d}}{\mathrm{dx}}\left(\frac{\mathrm{log}_{{e}} \:{x}.}{\mathrm{log}_{{e}} \:\mathrm{10}}\right)=\frac{\mathrm{1}}{\mathrm{ln}\:\mathrm{10}}.\frac{{d}}{{dx}}\left(\mathrm{ln}\:{x}\right) \\ $$$$=\frac{\mathrm{1}}{\mathrm{ln}\:\mathrm{10}}.\frac{\mathrm{1}}{{x}} \\ $$$$=\frac{\mathrm{1}}{{x}.\mathrm{ln}\:\mathrm{10}} \\ $$