If a function is given as $y = l n (s i n x)$ , then the first derivative of $y$ w.r.t. $x$ will be

s i n x

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t a n x

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l n (t a n x)

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c o t x

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Solution

The correct option is D $c o t x$

$y = l n (s i n x)$
$\frac{d y}{d x} = \frac{1}{s i n x} (c o s x) = c o t x$

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