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Differentiation question

2020 · 8 Jan · Shift 1 · Q36

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PYQ Library
JEE Main
Mathematics
Differentiation
2020 · 8 Jan · Shift 1 · Q36

Differentiation question

2020 · 8 Jan · Shift 1 · Q36

JEE MainMathematicsDifferentiationMCQ+4 / −1

Let ƒ(x) = (sin(tan–1x) + sin(cot–1x))2 – 1, |x| > 1. If

{{dy} \over {dx}} = {1 \over 2}{d \over {dx}}\left( {{{\sin }^{ - 1}}\left( {f\left( x \right)} \right)} \right)

and

y\left( {\sqrt 3 } \right) = {\pi \over 6}

, then y(

{ - \sqrt 3 }

) is equal to :

A
${{5\pi } \over 6}$
B
$- {\pi \over 6}$
C
${\pi \over 3}$
D
${{2\pi } \over 3}$

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