Find the derivative of the following function with respect to x. $y = \frac{s i n x}{x}$

$\frac{s i n x - x c o s x}{x^{2}}$

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$\frac{c o s x}{x}$

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$\frac{c o s x}{x^{2}}$

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$\frac{x c o s x - s i n x}{x^{2}}$

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Solution

The correct option is D
$\frac{x c o s x - s i n x}{x^{2}}$

$y = \frac{s i n x}{x}$
$\frac{d y}{d x} = \frac{x \frac{d}{d x} (s i n x) - s i n x (\frac{d x}{d x})}{x^{2}}$
= $\frac{x c o s x - s i n x}{x^{2}}$

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