Question

Differentiate the following equation,
$lo{g}_{x^2}x$

Answer 1

We have,
$\frac{d}{dx}\left(lo{g}_{x^2}x\right)$
$\left(lo{g}_{x^2}x\right)=\frac{logx}{log{x}^2}$
$=\frac{logx}{2logx}$
$=\frac{1}{2}$
$\frac{d}{dx}\left(\frac{1}{2}\right)=0$
$\therefore \frac{d}{dx}\left(lo{g}_{x^2}x\right)=0$