Question
Find $\frac{d y}{d x}$ if : $\mathrm{y}=\frac{(\log x+1)}{x}$
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$\lim _{x \rightarrow 0}\left[\frac{9^x-5^x}{4^x-1}\right]$
$\lim _{x \rightarrow 0}\left[\frac{a^x+b^x+c^x-3}{x}\right]$
(i) $\left|\begin{array}{ccc}1 & 4 & 20 \\ 1 & -2 & -5 \\ 1 & 2 x & 5 x^2\end{array}\right|=0$
$\lim _{x \rightarrow 1}\left[\frac{x^2+x \sqrt{x}-2}{x-1}\right]$