Question:
if $y=\log _{a} x$, find $\frac{d y}{d x}$.
Solution:
$y=\log _{a} x=\frac{\log _{e} x}{\log _{e} a}$
$\therefore \frac{\mathrm{dy}}{\mathrm{dx}}=\frac{1}{\log _{e} \mathrm{a}} \cdot \frac{1}{\mathrm{x}}$
$=\frac{1}{x \log _{e} a}$ (Ans)
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