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\newcommand\ds{\displaystyle}
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QUESTION

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

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ANSWER

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





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