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Differentiation question

2020 · 5 Sep · Shift 2 · Q33

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PYQ Library
JEE Main
Mathematics
Differentiation
2020 · 5 Sep · Shift 2 · Q33

Differentiation question

2020 · 5 Sep · Shift 2 · Q33

JEE MainMathematicsDifferentiationMCQ+4 / −1

The derivative of

{\tan ^{ - 1}}\left( {{{\sqrt {1 + {x^2}} - 1} \over x}} \right)

with respect to

{\tan ^{ - 1}}\left( {{{2x\sqrt {1 - {x^2}} } \over {1 - 2{x^2}}}} \right)

at x =

{1 \over 2}

is :

A
${{2\sqrt 3 } \over 3}$
B
${{2\sqrt 3 } \over 5}$
C
${{\sqrt 3 } \over {10}}$
D
${{\sqrt 3 } \over {12}}$

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