<html><head><meta name="color-scheme" content="light dark"></head><body><pre style="word-wrap: break-word; white-space: pre-wrap;">\documentclass[a4paper,12pt]{article}
\newcommand\ds{\displaystyle}

\begin{document}

\parindent=0pt

QUESTION

Differentiate the function $\ds\frac{\ln x}{x^2}$ with respect to
$x$.

\bigskip

ANSWER

$\ds\frac{d}{dx}\left(\frac{\ln
x}{x^2}\right)=\frac{x^2\left(\frac{1}{x}\right)-(\ln
x)(2x)}{(x^2)^2}=\frac{x-2x\ln x}{x^4}=\frac{1-2\ln x}{x^3}$




\end{document}
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