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Differentiation question

2019 · 8 Apr · Shift 1 · Q43

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PYQ Library
JEE Main
Mathematics
Differentiation
2019 · 8 Apr · Shift 1 · Q43

Differentiation question

2019 · 8 Apr · Shift 1 · Q43

JEE MainMathematicsDifferentiationMCQ+4 / −1

If

2y = {\left( {{{\cot }^{ - 1}}\left( {{{\sqrt 3 \cos x + \sin x} \over {\cos x - \sqrt 3 \sin x}}} \right)} \right)^2}

, x

\in

\left( {0,{\pi \over 2}} \right)

then

dy \over dx

is equal to:

A
$2x - {\pi \over 3}$
B
${\pi \over 6} - x$
C
${\pi \over 3} - x$
D
$x - {\pi \over 6}$

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